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Simplifying 9v + -39 = 3(v + -1) Reorder the terms: -39 + 9v = 3(v + -1) Reorder the terms: -39 + 9v = 3(-1 + v) -39 + 9v = (-1 * 3 + v * 3) -39 + 9v = (-3 + 3v) Solving -39 + 9v = -3 + 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 + 9v + -3v = -3 + 3v + -3v Combine like terms: 9v + -3v = 6v -39 + 6v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 -39 + 6v = -3 + 0 -39 + 6v = -3 Add '39' to each side of the equation. -39 + 39 + 6v = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 6v = -3 + 39 6v = -3 + 39 Combine like terms: -3 + 39 = 36 6v = 36 Divide each side by '6'. v = 6 Simplifying v = 6
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