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Simplifying 2(v + -9) + -8 = -4(-6v + 9) + -4v Reorder the terms: 2(-9 + v) + -8 = -4(-6v + 9) + -4v (-9 * 2 + v * 2) + -8 = -4(-6v + 9) + -4v (-18 + 2v) + -8 = -4(-6v + 9) + -4v Reorder the terms: -18 + -8 + 2v = -4(-6v + 9) + -4v Combine like terms: -18 + -8 = -26 -26 + 2v = -4(-6v + 9) + -4v Reorder the terms: -26 + 2v = -4(9 + -6v) + -4v -26 + 2v = (9 * -4 + -6v * -4) + -4v -26 + 2v = (-36 + 24v) + -4v Combine like terms: 24v + -4v = 20v -26 + 2v = -36 + 20v Solving -26 + 2v = -36 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -26 + 2v + -20v = -36 + 20v + -20v Combine like terms: 2v + -20v = -18v -26 + -18v = -36 + 20v + -20v Combine like terms: 20v + -20v = 0 -26 + -18v = -36 + 0 -26 + -18v = -36 Add '26' to each side of the equation. -26 + 26 + -18v = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -18v = -36 + 26 -18v = -36 + 26 Combine like terms: -36 + 26 = -10 -18v = -10 Divide each side by '-18'. v = 0.5555555556 Simplifying v = 0.5555555556
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