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Simplifying 9v + -8 + 2(2v + 6) = -2(v + 7) Reorder the terms: 9v + -8 + 2(6 + 2v) = -2(v + 7) 9v + -8 + (6 * 2 + 2v * 2) = -2(v + 7) 9v + -8 + (12 + 4v) = -2(v + 7) Reorder the terms: -8 + 12 + 9v + 4v = -2(v + 7) Combine like terms: -8 + 12 = 4 4 + 9v + 4v = -2(v + 7) Combine like terms: 9v + 4v = 13v 4 + 13v = -2(v + 7) Reorder the terms: 4 + 13v = -2(7 + v) 4 + 13v = (7 * -2 + v * -2) 4 + 13v = (-14 + -2v) Solving 4 + 13v = -14 + -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. 4 + 13v + 2v = -14 + -2v + 2v Combine like terms: 13v + 2v = 15v 4 + 15v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 15v = -14 + 0 4 + 15v = -14 Add '-4' to each side of the equation. 4 + -4 + 15v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 15v = -14 + -4 15v = -14 + -4 Combine like terms: -14 + -4 = -18 15v = -18 Divide each side by '15'. v = -1.2 Simplifying v = -1.2
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