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Simplifying 15 + -2v = 9(4v + 8) Reorder the terms: 15 + -2v = 9(8 + 4v) 15 + -2v = (8 * 9 + 4v * 9) 15 + -2v = (72 + 36v) Solving 15 + -2v = 72 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 15 + -2v + -36v = 72 + 36v + -36v Combine like terms: -2v + -36v = -38v 15 + -38v = 72 + 36v + -36v Combine like terms: 36v + -36v = 0 15 + -38v = 72 + 0 15 + -38v = 72 Add '-15' to each side of the equation. 15 + -15 + -38v = 72 + -15 Combine like terms: 15 + -15 = 0 0 + -38v = 72 + -15 -38v = 72 + -15 Combine like terms: 72 + -15 = 57 -38v = 57 Divide each side by '-38'. v = -1.5 Simplifying v = -1.5
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