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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 = -30v 54 + -30v = -96 + 12v + -12v Combine like terms: 12v + -12v = 0 54 + -30v = -96 + 0 54 + -30v = -96 Add '-54' to each side of the equation. 54 + -54 + -30v = -96 + -54 Combine like terms: 54 + -54 = 0 0 + -30v = -96 + -54 -30v = -96 + -54 Combine like terms: -96 + -54 = -150 -30v = -150 Divide each side by '-30'. v = 5 Simplifying v = 5
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