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Simplifying 4v + -2 + 2(6v + 8) = -2(v + 1) Reorder the terms: 4v + -2 + 2(8 + 6v) = -2(v + 1) 4v + -2 + (8 * 2 + 6v * 2) = -2(v + 1) 4v + -2 + (16 + 12v) = -2(v + 1) Reorder the terms: -2 + 16 + 4v + 12v = -2(v + 1) Combine like terms: -2 + 16 = 14 14 + 4v + 12v = -2(v + 1) Combine like terms: 4v + 12v = 16v 14 + 16v = -2(v + 1) Reorder the terms: 14 + 16v = -2(1 + v) 14 + 16v = (1 * -2 + v * -2) 14 + 16v = (-2 + -2v) Solving 14 + 16v = -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. 14 + 16v + 2v = -2 + -2v + 2v Combine like terms: 16v + 2v = 18v 14 + 18v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 14 + 18v = -2 + 0 14 + 18v = -2 Add '-14' to each side of the equation. 14 + -14 + 18v = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 18v = -2 + -14 18v = -2 + -14 Combine like terms: -2 + -14 = -16 18v = -16 Divide each side by '18'. v = -0.8888888889 Simplifying v = -0.8888888889
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