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Simplifying -9v + 39 = -6(v + -9) Reorder the terms: 39 + -9v = -6(v + -9) Reorder the terms: 39 + -9v = -6(-9 + v) 39 + -9v = (-9 * -6 + v * -6) 39 + -9v = (54 + -6v) Solving 39 + -9v = 54 + -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. 39 + -9v + 6v = 54 + -6v + 6v Combine like terms: -9v + 6v = -3v 39 + -3v = 54 + -6v + 6v Combine like terms: -6v + 6v = 0 39 + -3v = 54 + 0 39 + -3v = 54 Add '-39' to each side of the equation. 39 + -39 + -3v = 54 + -39 Combine like terms: 39 + -39 = 0 0 + -3v = 54 + -39 -3v = 54 + -39 Combine like terms: 54 + -39 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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