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Simplifying 9v + -2 + 2(2v + 1) = -2(v + 5) Reorder the terms: 9v + -2 + 2(1 + 2v) = -2(v + 5) 9v + -2 + (1 * 2 + 2v * 2) = -2(v + 5) 9v + -2 + (2 + 4v) = -2(v + 5) Reorder the terms: -2 + 2 + 9v + 4v = -2(v + 5) Combine like terms: -2 + 2 = 0 0 + 9v + 4v = -2(v + 5) 9v + 4v = -2(v + 5) Combine like terms: 9v + 4v = 13v 13v = -2(v + 5) Reorder the terms: 13v = -2(5 + v) 13v = (5 * -2 + v * -2) 13v = (-10 + -2v) Solving 13v = -10 + -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. 13v + 2v = -10 + -2v + 2v Combine like terms: 13v + 2v = 15v 15v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 15v = -10 + 0 15v = -10 Divide each side by '15'. v = -0.6666666667 Simplifying v = -0.6666666667
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