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Simplifying 2(v + -1) + -8 = -3(-6v + 1) + -2v Reorder the terms: 2(-1 + v) + -8 = -3(-6v + 1) + -2v (-1 * 2 + v * 2) + -8 = -3(-6v + 1) + -2v (-2 + 2v) + -8 = -3(-6v + 1) + -2v Reorder the terms: -2 + -8 + 2v = -3(-6v + 1) + -2v Combine like terms: -2 + -8 = -10 -10 + 2v = -3(-6v + 1) + -2v Reorder the terms: -10 + 2v = -3(1 + -6v) + -2v -10 + 2v = (1 * -3 + -6v * -3) + -2v -10 + 2v = (-3 + 18v) + -2v Combine like terms: 18v + -2v = 16v -10 + 2v = -3 + 16v Solving -10 + 2v = -3 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -10 + 2v + -16v = -3 + 16v + -16v Combine like terms: 2v + -16v = -14v -10 + -14v = -3 + 16v + -16v Combine like terms: 16v + -16v = 0 -10 + -14v = -3 + 0 -10 + -14v = -3 Add '10' to each side of the equation. -10 + 10 + -14v = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -14v = -3 + 10 -14v = -3 + 10 Combine like terms: -3 + 10 = 7 -14v = 7 Divide each side by '-14'. v = -0.5 Simplifying v = -0.5
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