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Simplifying 5(3v + -5) = 2(6v + 1) Reorder the terms: 5(-5 + 3v) = 2(6v + 1) (-5 * 5 + 3v * 5) = 2(6v + 1) (-25 + 15v) = 2(6v + 1) Reorder the terms: -25 + 15v = 2(1 + 6v) -25 + 15v = (1 * 2 + 6v * 2) -25 + 15v = (2 + 12v) Solving -25 + 15v = 2 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -25 + 15v + -12v = 2 + 12v + -12v Combine like terms: 15v + -12v = 3v -25 + 3v = 2 + 12v + -12v Combine like terms: 12v + -12v = 0 -25 + 3v = 2 + 0 -25 + 3v = 2 Add '25' to each side of the equation. -25 + 25 + 3v = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 3v = 2 + 25 3v = 2 + 25 Combine like terms: 2 + 25 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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