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Simplifying 9(v + 1) = 7v + 29 Reorder the terms: 9(1 + v) = 7v + 29 (1 * 9 + v * 9) = 7v + 29 (9 + 9v) = 7v + 29 Reorder the terms: 9 + 9v = 29 + 7v Solving 9 + 9v = 29 + 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. 9 + 9v + -7v = 29 + 7v + -7v Combine like terms: 9v + -7v = 2v 9 + 2v = 29 + 7v + -7v Combine like terms: 7v + -7v = 0 9 + 2v = 29 + 0 9 + 2v = 29 Add '-9' to each side of the equation. 9 + -9 + 2v = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 29 + -9 2v = 29 + -9 Combine like terms: 29 + -9 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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