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Simplifying -3(v + 9) = 3v + -39 Reorder the terms: -3(9 + v) = 3v + -39 (9 * -3 + v * -3) = 3v + -39 (-27 + -3v) = 3v + -39 Reorder the terms: -27 + -3v = -39 + 3v Solving -27 + -3v = -39 + 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. -27 + -3v + -3v = -39 + 3v + -3v Combine like terms: -3v + -3v = -6v -27 + -6v = -39 + 3v + -3v Combine like terms: 3v + -3v = 0 -27 + -6v = -39 + 0 -27 + -6v = -39 Add '27' to each side of the equation. -27 + 27 + -6v = -39 + 27 Combine like terms: -27 + 27 = 0 0 + -6v = -39 + 27 -6v = -39 + 27 Combine like terms: -39 + 27 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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