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Simplifying -3(4v + -2) + 9v = 6(v + 3) Reorder the terms: -3(-2 + 4v) + 9v = 6(v + 3) (-2 * -3 + 4v * -3) + 9v = 6(v + 3) (6 + -12v) + 9v = 6(v + 3) Combine like terms: -12v + 9v = -3v 6 + -3v = 6(v + 3) Reorder the terms: 6 + -3v = 6(3 + v) 6 + -3v = (3 * 6 + v * 6) 6 + -3v = (18 + 6v) Solving 6 + -3v = 18 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 6 + -3v + -6v = 18 + 6v + -6v Combine like terms: -3v + -6v = -9v 6 + -9v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 6 + -9v = 18 + 0 6 + -9v = 18 Add '-6' to each side of the equation. 6 + -6 + -9v = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -9v = 18 + -6 -9v = 18 + -6 Combine like terms: 18 + -6 = 12 -9v = 12 Divide each side by '-9'. v = -1.333333333 Simplifying v = -1.333333333
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