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Simplifying 15 = 3(v + -3) + -7v Reorder the terms: 15 = 3(-3 + v) + -7v 15 = (-3 * 3 + v * 3) + -7v 15 = (-9 + 3v) + -7v Combine like terms: 3v + -7v = -4v 15 = -9 + -4v Solving 15 = -9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 15 + 4v = -9 + -4v + 4v Combine like terms: -4v + 4v = 0 15 + 4v = -9 + 0 15 + 4v = -9 Add '-15' to each side of the equation. 15 + -15 + 4v = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 4v = -9 + -15 4v = -9 + -15 Combine like terms: -9 + -15 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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