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Simplifying 8v + 15 = 7(1 + v) Reorder the terms: 15 + 8v = 7(1 + v) 15 + 8v = (1 * 7 + v * 7) 15 + 8v = (7 + 7v) Solving 15 + 8v = 7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 15 + 8v + -7v = 7 + 7v + -7v Combine like terms: 8v + -7v = 1v 15 + 1v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 15 + 1v = 7 + 0 15 + 1v = 7 Add '-15' to each side of the equation. 15 + -15 + 1v = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 1v = 7 + -15 1v = 7 + -15 Combine like terms: 7 + -15 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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