3x - Cos 3X Formula Derivation. To derive the formula of cos 3x, we can write the formula as cos (2x + x) . Hence, we can use the sum formula and double angle identity to get the desired equation. Cos 3x = cos ( 2x + x) = cos 2x cos x - sin 2x sin x (Sum formula for cosine) = ( 1- 2 sin² x ) cos x - 2sin²x cos x ( double-angle identity)

 
3x-9=0 One solution was found : x = 3 Step by step solution : Step 1 :Pulling out like terms : 1.1 Pull out like factors : 3x - 9 = 3 • (x - 3) Equation at the end ... 3x≤21 One solution was found : x ≤ 7 Rearrange: Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality : .... Whatpercent27s the score for sunday night football

3x-2. en. Related Symbolab blog posts. High School Math Solutions – Quadratic Equations Calculator, Part 1. A quadratic equation is a second degree polynomial ...They are more expensive than traditional ETFs due to the use of leverage and the need for constant trading to maintain their positions. Ticker. Company Name. Last Price. 1-Year Return. GUSH. Direxion Daily S&P Oil & Gas Exploration & Production Bull 3x Shares. $39.23.Simplify the right side. Tap for more steps... x = −13 x = - 13 3x-4=7 One solution was found : x = 11/3 = 3.667 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.See tutors like this. 3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's. But we write that as 2x - that is, two x's. Therefore, 3x - x = 2x. Upvote • 2 Downvote. Add comment.2010–11 9-3X . 2011 View 38 photos Starting at $36,975; Consumer rating. 4.4. Combined mpg 20; Body style Wagon; Notable features in 2011: 210-hp, turbocharged four-cylinder for all models ...The Direxion Daily S&P 500 Bull 3x Shares (NYSEARCA: SPXL), trading under the ticker SPXL, seeks daily investment results of 300% of the performance of the S&P 500 Index.Algebra. Graph y=3x-4. y = 3x − 4 y = 3 x - 4. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,−4) ( 0, - 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.How do you solve 3x + 6 = 5 ? x= −31 Explanation: Step 1) Subtract 6 from each side of the equation to isolate the x term and keep the equation balanced: 3x+6 −6 = 5−6 ... How do I solve 3x + 6 = 9 ? x= 1 Explanation: First of all I will use the shortcuts. After that I will show what is actually happening. This will help in all sorts of ways.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.6x = 3x - 21; next we just subtract 3x from both sides. -3x -3x. 3x = -21. Finally, we divide 3 from both sides to separate the three from the x. x = -7.Linear Equation 3x+2 = 17 Similar Problems from Web Search 3x + 2 = 17 https://www.tiger-algebra.com/drill/3x_2=17/ 3x+2=17 One solution was found : x = 5 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3(x + 2) = 12 http://www.tiger-algebra.com/drill/3 (x_2)=12/ The research on spaced repetition shows that listening to audiobooks at 3x speed is a terrible way to retain information. In fact, it’s the opposite of what you should do. If you want to retain information, you should review the stuff you’ve already read. The benefits of spaced repetition. Source: Michael Nielsen.Algebra. Solve for x 3x=27. 3x = 27 3 x = 27. Divide each term in 3x = 27 3 x = 27 by 3 3. 3x 3 = 27 3 3 x 3 = 27 3. Simplify the left side. Tap for more steps... x = 27 3 x = 27 3. Simplify the right side.3x+5. Share. Copy. Copied to clipboard. 3x^{1-1} The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0 ...Algebra. Simplify (3x)^2. (3x)2 ( 3 x) 2. Apply the product rule to 3x 3 x. 32x2 3 2 x 2. Raise 3 3 to the power of 2 2. 9x2 9 x 2.Free math problem solver answers your algebra homework questions with step-by-step explanations.Algebra. Simplify (3x)^3. (3x)3 ( 3 x) 3. Apply the product rule to 3x 3 x. 33x3 3 3 x 3. Raise 3 3 to the power of 3 3. 27x3 27 x 3.♦ SCARY VIDEOS !♦ If you like watching scary videos on YouTube, you are not afraid of ghosts and you want to get to know all the darkest corners of the inter...SPXL. SPXS. The Direxion Daily S&P 500® Bull and Bear 3X Shares seek daily investment results, before fees and expenses, of 300%, or 300% of the inverse (or opposite), of the performance of the S&P 500® Index. There is no guarantee the funds will meet their stated investment objectives.See tutors like this. 3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's. But we write that as 2x - that is, two x's. Therefore, 3x - x = 2x. Upvote • 2 Downvote. Add comment.Algebra. Solve for x 3x=5. 3x = 5 3 x = 5. Divide each term in 3x = 5 3 x = 5 by 3 3. 3x 3 = 5 3 3 x 3 = 5 3. Simplify the left side. Tap for more steps... x = 5 3 x = 5 3. The result can be shown in multiple forms.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Evaluating Expressions Algebra Calculator can evaluate expressions that contain the variable x. To evaluate an expression containing x, enter the expression you want to evaluate, followed by the @ sign and the value you want to plug in for x. For example the command 2x @ 3 evaluates the expression 2x for x=3, which is equal to 2*3 or 6. Algebra. Graph y=3x-6. y = 3x − 6 y = 3 x - 6. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,−6) ( 0, - 6) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.The Direxion Daily S&P 500 Bull 3x Shares (NYSEARCA: SPXL), trading under the ticker SPXL, seeks daily investment results of 300% of the performance of the S&P 500 Index.In the garage and on the road, the Beauer 3X looks just like a classic teardrop trailer, measuring 8.5 x 6 x 8.5 ft (2.6 x 1.85 x 2.6 m, body L x W x H, not including hitch in length).Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.3x+1=0 One solution was found : x = -1/3 = -0.333 Step by step solution : Step 1 :Solving a Single Variable Equation : 1.1 Solve : 3x+1 = 0 Subtract 1 from both ... A student claims that the inequality 3x + 1>0 is always true because multiplying a number by 3 and then adding 1 to the result always produces a number greater than 0.Popular Problems. Algebra. Solve for x 3x=6. 3x = 6 3 x = 6. Divide each term in 3x = 6 3 x = 6 by 3 3. 3x 3 = 6 3 3 x 3 = 6 3. Simplify the left side. Tap for more steps... x = 6 3 x = 6 3.Leveraged 3X ETF List. Leveraged 3X ETFs are funds that track a wide variety of asset classes, such as stocks, bonds and commodity futures, and apply leverage in order to gain three times the daily or monthly return of the respective underlying index. Such ETFs come in the long and short varieties.3x=x-4 One solution was found : x = -2 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x (4x-6) Final result : 6x • (2x - 3) Step by step solution : Step 1 : Step 2 :Pulling out like terms : 2.1 Pull out like factors : 4x - 6 = 2 • (2x - 3) Final result : 6x ...Cos 3X Formula Derivation. To derive the formula of cos 3x, we can write the formula as cos (2x + x) . Hence, we can use the sum formula and double angle identity to get the desired equation. Cos 3x = cos ( 2x + x) = cos 2x cos x - sin 2x sin x (Sum formula for cosine) = ( 1- 2 sin² x ) cos x - 2sin²x cos x ( double-angle identity)Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Algebra. Solve for x 3x=7. 3x = 7 3 x = 7. Divide each term in 3x = 7 3 x = 7 by 3 3. 3x 3 = 7 3 3 x 3 = 7 3. Simplify the left side. Tap for more steps... x = 7 3 x = 7 3. The result can be shown in multiple forms.In the garage and on the road, the Beauer 3X looks just like a classic teardrop trailer, measuring 8.5 x 6 x 8.5 ft (2.6 x 1.85 x 2.6 m, body L x W x H, not including hitch in length).Number of amino acids: 22. Molecular weight (MW): 2730.71 Da. 8. Specifications of the Flag-tag and 3x Flag-tag. Flag-tag. Theoretical isoelectric point (pI): 3.97, which reflects the high degree of negatively charged amino acid residues. With a total of seven charged amino acids, the Flag-tag is highly charged.Algebra. Simplify 3x+6. 3x + 6 3 x + 6. Nothing further can be done with this topic. Please check the expression entered or try another topic. 3x+6 3 x + 6.The answer is is 1/3. To get this answer, subtract 4 from +4 and 5. 5–4=1. Then u get the 3x and do a fraction with a denominator of 3. Then do another fraction of 1/3. So basicallly 3 times 1/3 plus ...Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-GFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.3x^{2} en. Related Symbolab blog posts. High School Math Solutions – Inequalities Calculator, Exponential Inequalities. Last post, we talked about how to solve ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Find the terms. In general, the consecutive terms can differ by any number, say d, instead of just 1. So, the three numbers are better represented as x−d,x, and x+d. Then, 3x= 18 ⇒ x= 6 and x(x2 −d2)= 120 ... Let G(z) be the exponential generating function defining G(z) = ∑n=0∞ C n n!zn. The recurrence equation C n+2 = xC n +nC n−1 ...3x-3=0 One solution was found : x = 1 Step by step solution : Step 1 :Pulling out like terms : 1.1 Pull out like factors : 3x - 3 = 3 • (x - 1) Equation at the end ... 3x-3=6 One solution was found : x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...Find the terms. In general, the consecutive terms can differ by any number, say d, instead of just 1. So, the three numbers are better represented as x−d,x, and x+d. Then, 3x= 18 ⇒ x= 6 and x(x2 −d2)= 120 ... Let G(z) be the exponential generating function defining G(z) = ∑n=0∞ C n n!zn. The recurrence equation C n+2 = xC n +nC n−1 ...Solve for x 3x-3=6. 3x − 3 = 6 3 x - 3 = 6. Move all terms not containing x x to the right side of the equation. Tap for more steps... 3x = 9 3 x = 9. Divide each term in 3x = 9 3 x = 9 by 3 3 and simplify.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.GitHub - MHSanaei/3x-ui: Xray panel supporting multi-protocol ...SPXL. SPXS. The Direxion Daily S&P 500® Bull and Bear 3X Shares seek daily investment results, before fees and expenses, of 300%, or 300% of the inverse (or opposite), of the performance of the S&P 500® Index. There is no guarantee the funds will meet their stated investment objectives.The research on spaced repetition shows that listening to audiobooks at 3x speed is a terrible way to retain information. In fact, it’s the opposite of what you should do. If you want to retain information, you should review the stuff you’ve already read. The benefits of spaced repetition. Source: Michael Nielsen.♦ SCARY VIDEOS ! ♦ If you like watching scary videos on YouTube, you are not afraid of ghosts and you want to get to know all the darkest corners of the internet. Join with me and discover all ...1. 3x-3=-18 add 3 on both sides 3x=-15 divide by 3 x=-5 2. r/2-6=14 add 6 on both sides r/2 = 20 multiply by 2 on both sides r= 40 3. 12+4m=24 subtract 12 on both sides 4m = 12 divide by 4 m=3 Then from 3-8 its 4.B 5.A 6.A 7.C 8.D have a good day ! good luckAlgebra. Multiply 3x*3x. 3x ⋅ 3x 3 x ⋅ 3 x. Rewrite using the commutative property of multiplication. 3⋅3x⋅x 3 ⋅ 3 x ⋅ x. Multiply x x by x x by adding the exponents. Tap for more steps... 3⋅3x2 3 ⋅ 3 x 2. Multiply 3 3 by 3 3.We would like to show you a description here but the site won’t allow us.Algebra. Simplify (3x)^2. (3x)2 ( 3 x) 2. Apply the product rule to 3x 3 x. 32x2 3 2 x 2. Raise 3 3 to the power of 2 2. 9x2 9 x 2.3x-4=7 One solution was found : x = 11/3 = 3.667 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...The Direxion Daily S&P 500 Bull 3x Shares (NYSEARCA: SPXL), trading under the ticker SPXL, seeks daily investment results of 300% of the performance of the S&P 500 Index.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.SPXL. SPXS. The Direxion Daily S&P 500® Bull and Bear 3X Shares seek daily investment results, before fees and expenses, of 300%, or 300% of the inverse (or opposite), of the performance of the S&P 500® Index. There is no guarantee the funds will meet their stated investment objectives.3x+1. Share. Copy. Copied to clipboard. 3x^{1-1} The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0 ...Algebra. Solve for x 3x=27. 3x = 27 3 x = 27. Divide each term in 3x = 27 3 x = 27 by 3 3. 3x 3 = 27 3 3 x 3 = 27 3. Simplify the left side. Tap for more steps... x = 27 3 x = 27 3. Simplify the right side.Factor 3x^2+13x-10. 3x2 + 13x − 10 3 x 2 + 13 x - 10. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 3⋅−10 = −30 a ⋅ c = 3 ⋅ - 10 = - 30 and whose sum is b = 13 b = 13. Tap for more steps... 3x2 − 2x+15x−10 3 x 2 - 2 x + 15 x - 10.52 Wk Range 37.990 - 66.135. The ProShares UltraPro Dow30 ETF gives investors 3x leveraged exposure to the Dow30. The fund has a 0.95% expense ratio and a 3-year annualized return of 24.72%. UDOW ...3x^{2} en. Related Symbolab blog posts. High School Math Solutions – Inequalities Calculator, Exponential Inequalities. Last post, we talked about how to solve ...Algebra. Simplify (3x)^3. (3x)3 ( 3 x) 3. Apply the product rule to 3x 3 x. 33x3 3 3 x 3. Raise 3 3 to the power of 3 3. 27x3 27 x 3.6x = 3x - 21; next we just subtract 3x from both sides. -3x -3x. 3x = -21. Finally, we divide 3 from both sides to separate the three from the x. x = -7.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Choose any positive integer you want. If the number you chose is even, divide it in half. If it is odd, replace x by 3x+1. Repeat this process. Repeat it again. Keep going. Eventually, you are almost certain to fall into the cycle 4, 2, 1, 4, 2, 1, 4, 2, 1,…. I say “almost certain” because it is an open question whether you will fall into ...Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Linear Equation 3x+2 = 17 Similar Problems from Web Search 3x + 2 = 17 https://www.tiger-algebra.com/drill/3x_2=17/ 3x+2=17 One solution was found : x = 5 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3(x + 2) = 12 http://www.tiger-algebra.com/drill/3 (x_2)=12/ Linear Equation 3x+2 = 17 Similar Problems from Web Search 3x + 2 = 17 https://www.tiger-algebra.com/drill/3x_2=17/ 3x+2=17 One solution was found : x = 5 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3(x + 2) = 12 http://www.tiger-algebra.com/drill/3 (x_2)=12/ ♦ SCARY VIDEOS ! ♦ If you like watching scary videos on YouTube, you are not afraid of ghosts and you want to get to know all the darkest corners of the internet. Join with me and discover all ...9x2-3x+2 Final result : 9x2 - 3x + 2 Step by step solution : Step 1 :Equation at the end of step 1 : (32x2 - 3x) + 2 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring ... x2-3x+1 Final result : x2 - 3x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-3x+1 The first term is, x2 ...Algebra. Graph y=3x-13. y = 3x − 13 y = 3 x - 13. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,−13) ( 0, - 13) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.3x+1. Share. Copy. Copied to clipboard. 3x^{1-1} The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0 ...Algebra. Solve for x 3x=5. 3x = 5 3 x = 5. Divide each term in 3x = 5 3 x = 5 by 3 3. 3x 3 = 5 3 3 x 3 = 5 3. Simplify the left side. Tap for more steps... x = 5 3 x = 5 3. The result can be shown in multiple forms.We would like to show you a description here but the site won’t allow us.

The research on spaced repetition shows that listening to audiobooks at 3x speed is a terrible way to retain information. In fact, it’s the opposite of what you should do. If you want to retain information, you should review the stuff you’ve already read. The benefits of spaced repetition. Source: Michael Nielsen.. T mobile.com

3x

Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step9x2-3x+2 Final result : 9x2 - 3x + 2 Step by step solution : Step 1 :Equation at the end of step 1 : (32x2 - 3x) + 2 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring ... x2-3x+1 Final result : x2 - 3x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-3x+1 The first term is, x2 ...In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates is x³ + 2xyz² − yz + 1.Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.y = − 4 3x y = - 4 3 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: − 4 3 - 4 3. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Algebra. Graph y=3x-6. y = 3x − 6 y = 3 x - 6. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,−6) ( 0, - 6) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.FEC FORM 3X Rev. 05/2016 Office Use Only NOTE: Submission of false, erroneous, or incomplete information may subject the person signing this Report to the penalties of 52 U.S.C. § 30109. 4. TYPE OF REPORT Report (Choose One) (a) Quarterly Reports: 12-Day Primary (12P) General (12G) Runoff (12R) PRE-Election52 Wk Range 37.990 - 66.135. The ProShares UltraPro Dow30 ETF gives investors 3x leveraged exposure to the Dow30. The fund has a 0.95% expense ratio and a 3-year annualized return of 24.72%. UDOW ...y = − 4 3x y = - 4 3 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: − 4 3 - 4 3. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.♦ SCARY VIDEOS ! ♦ If you like watching scary videos on YouTube, you are not afraid of ghosts and you want to get to know all the darkest corners of the internet. Join with me and discover all ...Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-GFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Algebra. Simplify 3x+6. 3x + 6 3 x + 6. Nothing further can be done with this topic. Please check the expression entered or try another topic. 3x+6 3 x + 6.Algebra Multiply 3x*3x 3x ⋅ 3x 3 x ⋅ 3 x Rewrite using the commutative property of multiplication. 3⋅3x⋅x 3 ⋅ 3 x ⋅ x Multiply x x by x x by adding the exponents. Tap for more steps... 3⋅3x2 3 ⋅ 3 x 2 Multiply 3 3 by 3 3. 9x2 9 x 2 Algebra. Graph y=3x-6. y = 3x − 6 y = 3 x - 6. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,−6) ( 0, - 6) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates is x³ + 2xyz² − yz + 1.Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.FEC FORM 3X Rev. 05/2016 Office Use Only NOTE: Submission of false, erroneous, or incomplete information may subject the person signing this Report to the penalties of 52 U.S.C. § 30109. 4. TYPE OF REPORT Report (Choose One) (a) Quarterly Reports: 12-Day Primary (12P) General (12G) Runoff (12R) PRE-Election.

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