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Simplifying 108 = -8v + 4(3 + -4v) 108 = -8v + (3 * 4 + -4v * 4) 108 = -8v + (12 + -16v) Reorder the terms: 108 = 12 + -8v + -16v Combine like terms: -8v + -16v = -24v 108 = 12 + -24v Solving 108 = 12 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 108 + 24v = 12 + -24v + 24v Combine like terms: -24v + 24v = 0 108 + 24v = 12 + 0 108 + 24v = 12 Add '-108' to each side of the equation. 108 + -108 + 24v = 12 + -108 Combine like terms: 108 + -108 = 0 0 + 24v = 12 + -108 24v = 12 + -108 Combine like terms: 12 + -108 = -96 24v = -96 Divide each side by '24'. v = -4 Simplifying v = -4
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