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Simplifying -6v + 39 = 3(v + -8) Reorder the terms: 39 + -6v = 3(v + -8) Reorder the terms: 39 + -6v = 3(-8 + v) 39 + -6v = (-8 * 3 + v * 3) 39 + -6v = (-24 + 3v) Solving 39 + -6v = -24 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 39 + -6v + -3v = -24 + 3v + -3v Combine like terms: -6v + -3v = -9v 39 + -9v = -24 + 3v + -3v Combine like terms: 3v + -3v = 0 39 + -9v = -24 + 0 39 + -9v = -24 Add '-39' to each side of the equation. 39 + -39 + -9v = -24 + -39 Combine like terms: 39 + -39 = 0 0 + -9v = -24 + -39 -9v = -24 + -39 Combine like terms: -24 + -39 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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