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Simplifying 8v + 8 + -2(-6v + -1) = 2(v + -1) Reorder the terms: 8v + 8 + -2(-1 + -6v) = 2(v + -1) 8v + 8 + (-1 * -2 + -6v * -2) = 2(v + -1) 8v + 8 + (2 + 12v) = 2(v + -1) Reorder the terms: 8 + 2 + 8v + 12v = 2(v + -1) Combine like terms: 8 + 2 = 10 10 + 8v + 12v = 2(v + -1) Combine like terms: 8v + 12v = 20v 10 + 20v = 2(v + -1) Reorder the terms: 10 + 20v = 2(-1 + v) 10 + 20v = (-1 * 2 + v * 2) 10 + 20v = (-2 + 2v) Solving 10 + 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. 10 + 20v + -2v = -2 + 2v + -2v Combine like terms: 20v + -2v = 18v 10 + 18v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 18v = -2 + 0 10 + 18v = -2 Add '-10' to each side of the equation. 10 + -10 + 18v = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 18v = -2 + -10 18v = -2 + -10 Combine like terms: -2 + -10 = -12 18v = -12 Divide each side by '18'. v = -0.6666666667 Simplifying v = -0.6666666667
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