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Simplifying 9v + 29 = -8(v + 7) Reorder the terms: 29 + 9v = -8(v + 7) Reorder the terms: 29 + 9v = -8(7 + v) 29 + 9v = (7 * -8 + v * -8) 29 + 9v = (-56 + -8v) Solving 29 + 9v = -56 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 29 + 9v + 8v = -56 + -8v + 8v Combine like terms: 9v + 8v = 17v 29 + 17v = -56 + -8v + 8v Combine like terms: -8v + 8v = 0 29 + 17v = -56 + 0 29 + 17v = -56 Add '-29' to each side of the equation. 29 + -29 + 17v = -56 + -29 Combine like terms: 29 + -29 = 0 0 + 17v = -56 + -29 17v = -56 + -29 Combine like terms: -56 + -29 = -85 17v = -85 Divide each side by '17'. v = -5 Simplifying v = -5
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