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Simplifying -12 = 3(v + -3) + -6v Reorder the terms: -12 = 3(-3 + v) + -6v -12 = (-3 * 3 + v * 3) + -6v -12 = (-9 + 3v) + -6v Combine like terms: 3v + -6v = -3v -12 = -9 + -3v Solving -12 = -9 + -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. -12 + 3v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 -12 + 3v = -9 + 0 -12 + 3v = -9 Add '12' to each side of the equation. -12 + 12 + 3v = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = -9 + 12 3v = -9 + 12 Combine like terms: -9 + 12 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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