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Simplifying 6v + 4 + -6(-2v + -1) = 2(v + -1) Reorder the terms: 6v + 4 + -6(-1 + -2v) = 2(v + -1) 6v + 4 + (-1 * -6 + -2v * -6) = 2(v + -1) 6v + 4 + (6 + 12v) = 2(v + -1) Reorder the terms: 4 + 6 + 6v + 12v = 2(v + -1) Combine like terms: 4 + 6 = 10 10 + 6v + 12v = 2(v + -1) Combine like terms: 6v + 12v = 18v 10 + 18v = 2(v + -1) Reorder the terms: 10 + 18v = 2(-1 + v) 10 + 18v = (-1 * 2 + v * 2) 10 + 18v = (-2 + 2v) Solving 10 + 18v = -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. 10 + 18v + -2v = -2 + 2v + -2v Combine like terms: 18v + -2v = 16v 10 + 16v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 16v = -2 + 0 10 + 16v = -2 Add '-10' to each side of the equation. 10 + -10 + 16v = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 16v = -2 + -10 16v = -2 + -10 Combine like terms: -2 + -10 = -12 16v = -12 Divide each side by '16'. v = -0.75 Simplifying v = -0.75
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