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Simplifying 2v + 3 + -3(-6v + -3) = 2(v + -1) Reorder the terms: 2v + 3 + -3(-3 + -6v) = 2(v + -1) 2v + 3 + (-3 * -3 + -6v * -3) = 2(v + -1) 2v + 3 + (9 + 18v) = 2(v + -1) Reorder the terms: 3 + 9 + 2v + 18v = 2(v + -1) Combine like terms: 3 + 9 = 12 12 + 2v + 18v = 2(v + -1) Combine like terms: 2v + 18v = 20v 12 + 20v = 2(v + -1) Reorder the terms: 12 + 20v = 2(-1 + v) 12 + 20v = (-1 * 2 + v * 2) 12 + 20v = (-2 + 2v) Solving 12 + 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. 12 + 20v + -2v = -2 + 2v + -2v Combine like terms: 20v + -2v = 18v 12 + 18v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 18v = -2 + 0 12 + 18v = -2 Add '-12' to each side of the equation. 12 + -12 + 18v = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 18v = -2 + -12 18v = -2 + -12 Combine like terms: -2 + -12 = -14 18v = -14 Divide each side by '18'. v = -0.7777777778 Simplifying v = -0.7777777778
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