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