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Simplifying 8v + 8 = -9(v + 1) Reorder the terms: 8 + 8v = -9(v + 1) Reorder the terms: 8 + 8v = -9(1 + v) 8 + 8v = (1 * -9 + v * -9) 8 + 8v = (-9 + -9v) Solving 8 + 8v = -9 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 8 + 8v + 9v = -9 + -9v + 9v Combine like terms: 8v + 9v = 17v 8 + 17v = -9 + -9v + 9v Combine like terms: -9v + 9v = 0 8 + 17v = -9 + 0 8 + 17v = -9 Add '-8' to each side of the equation. 8 + -8 + 17v = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 17v = -9 + -8 17v = -9 + -8 Combine like terms: -9 + -8 = -17 17v = -17 Divide each side by '17'. v = -1 Simplifying v = -1
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