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Simplifying 9(6 + -2v) = -12(v + -8) (6 * 9 + -2v * 9) = -12(v + -8) (54 + -18v) = -12(v + -8) Reorder the terms: 54 + -18v = -12(-8 + v) 54 + -18v = (-8 * -12 + v * -12) 54 + -18v = (96 + -12v) Solving 54 + -18v = 96 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 54 + -18v + 12v = 96 + -12v + 12v Combine like terms: -18v + 12v = -6v 54 + -6v = 96 + -12v + 12v Combine like terms: -12v + 12v = 0 54 + -6v = 96 + 0 54 + -6v = 96 Add '-54' to each side of the equation. 54 + -54 + -6v = 96 + -54 Combine like terms: 54 + -54 = 0 0 + -6v = 96 + -54 -6v = 96 + -54 Combine like terms: 96 + -54 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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