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Simplifying -3v + -12 = -9(v + -4) Reorder the terms: -12 + -3v = -9(v + -4) Reorder the terms: -12 + -3v = -9(-4 + v) -12 + -3v = (-4 * -9 + v * -9) -12 + -3v = (36 + -9v) Solving -12 + -3v = 36 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -12 + -3v + 9v = 36 + -9v + 9v Combine like terms: -3v + 9v = 6v -12 + 6v = 36 + -9v + 9v Combine like terms: -9v + 9v = 0 -12 + 6v = 36 + 0 -12 + 6v = 36 Add '12' to each side of the equation. -12 + 12 + 6v = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 6v = 36 + 12 6v = 36 + 12 Combine like terms: 36 + 12 = 48 6v = 48 Divide each side by '6'. v = 8 Simplifying v = 8
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