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Simplifying 9 = 5(v + 5) + -7v Reorder the terms: 9 = 5(5 + v) + -7v 9 = (5 * 5 + v * 5) + -7v 9 = (25 + 5v) + -7v Combine like terms: 5v + -7v = -2v 9 = 25 + -2v Solving 9 = 25 + -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. 9 + 2v = 25 + -2v + 2v Combine like terms: -2v + 2v = 0 9 + 2v = 25 + 0 9 + 2v = 25 Add '-9' to each side of the equation. 9 + -9 + 2v = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 25 + -9 2v = 25 + -9 Combine like terms: 25 + -9 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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