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