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Simplifying 9v + 12 = -8(v + 7) Reorder the terms: 12 + 9v = -8(v + 7) Reorder the terms: 12 + 9v = -8(7 + v) 12 + 9v = (7 * -8 + v * -8) 12 + 9v = (-56 + -8v) Solving 12 + 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. 12 + 9v + 8v = -56 + -8v + 8v Combine like terms: 9v + 8v = 17v 12 + 17v = -56 + -8v + 8v Combine like terms: -8v + 8v = 0 12 + 17v = -56 + 0 12 + 17v = -56 Add '-12' to each side of the equation. 12 + -12 + 17v = -56 + -12 Combine like terms: 12 + -12 = 0 0 + 17v = -56 + -12 17v = -56 + -12 Combine like terms: -56 + -12 = -68 17v = -68 Divide each side by '17'. v = -4 Simplifying v = -4
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