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Simplifying 2v + 1 + -2(-9v + -6) = 2(v + -1) Reorder the terms: 2v + 1 + -2(-6 + -9v) = 2(v + -1) 2v + 1 + (-6 * -2 + -9v * -2) = 2(v + -1) 2v + 1 + (12 + 18v) = 2(v + -1) Reorder the terms: 1 + 12 + 2v + 18v = 2(v + -1) Combine like terms: 1 + 12 = 13 13 + 2v + 18v = 2(v + -1) Combine like terms: 2v + 18v = 20v 13 + 20v = 2(v + -1) Reorder the terms: 13 + 20v = 2(-1 + v) 13 + 20v = (-1 * 2 + v * 2) 13 + 20v = (-2 + 2v) Solving 13 + 20v = -2 + 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. 13 + 20v + -2v = -2 + 2v + -2v Combine like terms: 20v + -2v = 18v 13 + 18v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 13 + 18v = -2 + 0 13 + 18v = -2 Add '-13' to each side of the equation. 13 + -13 + 18v = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 18v = -2 + -13 18v = -2 + -13 Combine like terms: -2 + -13 = -15 18v = -15 Divide each side by '18'. v = -0.8333333333 Simplifying v = -0.8333333333
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