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Simplifying 4v + -2 + 2(6v + 6) = -2(v + 2) Reorder the terms: 4v + -2 + 2(6 + 6v) = -2(v + 2) 4v + -2 + (6 * 2 + 6v * 2) = -2(v + 2) 4v + -2 + (12 + 12v) = -2(v + 2) Reorder the terms: -2 + 12 + 4v + 12v = -2(v + 2) Combine like terms: -2 + 12 = 10 10 + 4v + 12v = -2(v + 2) Combine like terms: 4v + 12v = 16v 10 + 16v = -2(v + 2) Reorder the terms: 10 + 16v = -2(2 + v) 10 + 16v = (2 * -2 + v * -2) 10 + 16v = (-4 + -2v) Solving 10 + 16v = -4 + -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. 10 + 16v + 2v = -4 + -2v + 2v Combine like terms: 16v + 2v = 18v 10 + 18v = -4 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 18v = -4 + 0 10 + 18v = -4 Add '-10' to each side of the equation. 10 + -10 + 18v = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 18v = -4 + -10 18v = -4 + -10 Combine like terms: -4 + -10 = -14 18v = -14 Divide each side by '18'. v = -0.7777777778 Simplifying v = -0.7777777778
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