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Simplifying -3(-6v + 8) + -1v = 2(v + -5) + -4 Reorder the terms: -3(8 + -6v) + -1v = 2(v + -5) + -4 (8 * -3 + -6v * -3) + -1v = 2(v + -5) + -4 (-24 + 18v) + -1v = 2(v + -5) + -4 Combine like terms: 18v + -1v = 17v -24 + 17v = 2(v + -5) + -4 Reorder the terms: -24 + 17v = 2(-5 + v) + -4 -24 + 17v = (-5 * 2 + v * 2) + -4 -24 + 17v = (-10 + 2v) + -4 Reorder the terms: -24 + 17v = -10 + -4 + 2v Combine like terms: -10 + -4 = -14 -24 + 17v = -14 + 2v Solving -24 + 17v = -14 + 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. -24 + 17v + -2v = -14 + 2v + -2v Combine like terms: 17v + -2v = 15v -24 + 15v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -24 + 15v = -14 + 0 -24 + 15v = -14 Add '24' to each side of the equation. -24 + 24 + 15v = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 15v = -14 + 24 15v = -14 + 24 Combine like terms: -14 + 24 = 10 15v = 10 Divide each side by '15'. v = 0.6666666667 Simplifying v = 0.6666666667
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