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Simplifying 2(v + -9) + -2 = -4(-5v + 4) + -2v Reorder the terms: 2(-9 + v) + -2 = -4(-5v + 4) + -2v (-9 * 2 + v * 2) + -2 = -4(-5v + 4) + -2v (-18 + 2v) + -2 = -4(-5v + 4) + -2v Reorder the terms: -18 + -2 + 2v = -4(-5v + 4) + -2v Combine like terms: -18 + -2 = -20 -20 + 2v = -4(-5v + 4) + -2v Reorder the terms: -20 + 2v = -4(4 + -5v) + -2v -20 + 2v = (4 * -4 + -5v * -4) + -2v -20 + 2v = (-16 + 20v) + -2v Combine like terms: 20v + -2v = 18v -20 + 2v = -16 + 18v Solving -20 + 2v = -16 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -20 + 2v + -18v = -16 + 18v + -18v Combine like terms: 2v + -18v = -16v -20 + -16v = -16 + 18v + -18v Combine like terms: 18v + -18v = 0 -20 + -16v = -16 + 0 -20 + -16v = -16 Add '20' to each side of the equation. -20 + 20 + -16v = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -16v = -16 + 20 -16v = -16 + 20 Combine like terms: -16 + 20 = 4 -16v = 4 Divide each side by '-16'. v = -0.25 Simplifying v = -0.25
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