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Simplifying -3(2v + -1) + 9v = 9 + 2(6v + -9) Reorder the terms: -3(-1 + 2v) + 9v = 9 + 2(6v + -9) (-1 * -3 + 2v * -3) + 9v = 9 + 2(6v + -9) (3 + -6v) + 9v = 9 + 2(6v + -9) Combine like terms: -6v + 9v = 3v 3 + 3v = 9 + 2(6v + -9) Reorder the terms: 3 + 3v = 9 + 2(-9 + 6v) 3 + 3v = 9 + (-9 * 2 + 6v * 2) 3 + 3v = 9 + (-18 + 12v) Combine like terms: 9 + -18 = -9 3 + 3v = -9 + 12v Solving 3 + 3v = -9 + 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. 3 + 3v + -12v = -9 + 12v + -12v Combine like terms: 3v + -12v = -9v 3 + -9v = -9 + 12v + -12v Combine like terms: 12v + -12v = 0 3 + -9v = -9 + 0 3 + -9v = -9 Add '-3' to each side of the equation. 3 + -3 + -9v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -9v = -9 + -3 -9v = -9 + -3 Combine like terms: -9 + -3 = -12 -9v = -12 Divide each side by '-9'. v = 1.333333333 Simplifying v = 1.333333333
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