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Simplifying 15 = 4(v + 3) + -7v Reorder the terms: 15 = 4(3 + v) + -7v 15 = (3 * 4 + v * 4) + -7v 15 = (12 + 4v) + -7v Combine like terms: 4v + -7v = -3v 15 = 12 + -3v Solving 15 = 12 + -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 = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 15 + 3v = 12 + 0 15 + 3v = 12 Add '-15' to each side of the equation. 15 + -15 + 3v = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 12 + -15 3v = 12 + -15 Combine like terms: 12 + -15 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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