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Simplifying 8v + 5 + -3(-4v + -1) = 2(v + -4) Reorder the terms: 8v + 5 + -3(-1 + -4v) = 2(v + -4) 8v + 5 + (-1 * -3 + -4v * -3) = 2(v + -4) 8v + 5 + (3 + 12v) = 2(v + -4) Reorder the terms: 5 + 3 + 8v + 12v = 2(v + -4) Combine like terms: 5 + 3 = 8 8 + 8v + 12v = 2(v + -4) Combine like terms: 8v + 12v = 20v 8 + 20v = 2(v + -4) Reorder the terms: 8 + 20v = 2(-4 + v) 8 + 20v = (-4 * 2 + v * 2) 8 + 20v = (-8 + 2v) Solving 8 + 20v = -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. 8 + 20v + -2v = -8 + 2v + -2v Combine like terms: 20v + -2v = 18v 8 + 18v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 18v = -8 + 0 8 + 18v = -8 Add '-8' to each side of the equation. 8 + -8 + 18v = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 18v = -8 + -8 18v = -8 + -8 Combine like terms: -8 + -8 = -16 18v = -16 Divide each side by '18'. v = -0.8888888889 Simplifying v = -0.8888888889
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