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Simplifying 15 = -4v + 7(v + 3) Reorder the terms: 15 = -4v + 7(3 + v) 15 = -4v + (3 * 7 + v * 7) 15 = -4v + (21 + 7v) Reorder the terms: 15 = 21 + -4v + 7v Combine like terms: -4v + 7v = 3v 15 = 21 + 3v Solving 15 = 21 + 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 = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 15 + -3v = 21 + 0 15 + -3v = 21 Add '-15' to each side of the equation. 15 + -15 + -3v = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -3v = 21 + -15 -3v = 21 + -15 Combine like terms: 21 + -15 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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