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Simplifying 9(6 + -2v) = -1(v + -8) (6 * 9 + -2v * 9) = -1(v + -8) (54 + -18v) = -1(v + -8) Reorder the terms: 54 + -18v = -1(-8 + v) 54 + -18v = (-8 * -1 + v * -1) 54 + -18v = (8 + -1v) Solving 54 + -18v = 8 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 54 + -18v + v = 8 + -1v + v Combine like terms: -18v + v = -17v 54 + -17v = 8 + -1v + v Combine like terms: -1v + v = 0 54 + -17v = 8 + 0 54 + -17v = 8 Add '-54' to each side of the equation. 54 + -54 + -17v = 8 + -54 Combine like terms: 54 + -54 = 0 0 + -17v = 8 + -54 -17v = 8 + -54 Combine like terms: 8 + -54 = -46 -17v = -46 Divide each side by '-17'. v = 2.705882353 Simplifying v = 2.705882353
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