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Simplifying 12(8v + 12) = 12(9v + -8) Reorder the terms: 12(12 + 8v) = 12(9v + -8) (12 * 12 + 8v * 12) = 12(9v + -8) (144 + 96v) = 12(9v + -8) Reorder the terms: 144 + 96v = 12(-8 + 9v) 144 + 96v = (-8 * 12 + 9v * 12) 144 + 96v = (-96 + 108v) Solving 144 + 96v = -96 + 108v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-108v' to each side of the equation. 144 + 96v + -108v = -96 + 108v + -108v Combine like terms: 96v + -108v = -12v 144 + -12v = -96 + 108v + -108v Combine like terms: 108v + -108v = 0 144 + -12v = -96 + 0 144 + -12v = -96 Add '-144' to each side of the equation. 144 + -144 + -12v = -96 + -144 Combine like terms: 144 + -144 = 0 0 + -12v = -96 + -144 -12v = -96 + -144 Combine like terms: -96 + -144 = -240 -12v = -240 Divide each side by '-12'. v = 20 Simplifying v = 20
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