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Simplifying 6v + 8 + -2(-6v + -1) = 2(v + -4) Reorder the terms: 6v + 8 + -2(-1 + -6v) = 2(v + -4) 6v + 8 + (-1 * -2 + -6v * -2) = 2(v + -4) 6v + 8 + (2 + 12v) = 2(v + -4) Reorder the terms: 8 + 2 + 6v + 12v = 2(v + -4) Combine like terms: 8 + 2 = 10 10 + 6v + 12v = 2(v + -4) Combine like terms: 6v + 12v = 18v 10 + 18v = 2(v + -4) Reorder the terms: 10 + 18v = 2(-4 + v) 10 + 18v = (-4 * 2 + v * 2) 10 + 18v = (-8 + 2v) Solving 10 + 18v = -8 + 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 = -8 + 2v + -2v Combine like terms: 18v + -2v = 16v 10 + 16v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 16v = -8 + 0 10 + 16v = -8 Add '-10' to each side of the equation. 10 + -10 + 16v = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 16v = -8 + -10 16v = -8 + -10 Combine like terms: -8 + -10 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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