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Simplifying 15 = -7v + 5(v + 7) Reorder the terms: 15 = -7v + 5(7 + v) 15 = -7v + (7 * 5 + v * 5) 15 = -7v + (35 + 5v) Reorder the terms: 15 = 35 + -7v + 5v Combine like terms: -7v + 5v = -2v 15 = 35 + -2v Solving 15 = 35 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 15 + 2v = 35 + -2v + 2v Combine like terms: -2v + 2v = 0 15 + 2v = 35 + 0 15 + 2v = 35 Add '-15' to each side of the equation. 15 + -15 + 2v = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 2v = 35 + -15 2v = 35 + -15 Combine like terms: 35 + -15 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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