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Simplifying 3(4v + 3) = -87 Reorder the terms: 3(3 + 4v) = -87 (3 * 3 + 4v * 3) = -87 (9 + 12v) = -87 Solving 9 + 12v = -87 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12v = -87 + -9 Combine like terms: 9 + -9 = 0 0 + 12v = -87 + -9 12v = -87 + -9 Combine like terms: -87 + -9 = -96 12v = -96 Divide each side by '12'. v = -8 Simplifying v = -8
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