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Simplifying 15 = 3(v + -3) + -6v Reorder the terms: 15 = 3(-3 + v) + -6v 15 = (-3 * 3 + v * 3) + -6v 15 = (-9 + 3v) + -6v Combine like terms: 3v + -6v = -3v 15 = -9 + -3v Solving 15 = -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. 15 + 3v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 15 + 3v = -9 + 0 15 + 3v = -9 Add '-15' to each side of the equation. 15 + -15 + 3v = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = -9 + -15 3v = -9 + -15 Combine like terms: -9 + -15 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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