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Simplifying 8(v + 9) + -9v = -12 Reorder the terms: 8(9 + v) + -9v = -12 (9 * 8 + v * 8) + -9v = -12 (72 + 8v) + -9v = -12 Combine like terms: 8v + -9v = -1v 72 + -1v = -12 Solving 72 + -1v = -12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -1v = -12 + -72 Combine like terms: 72 + -72 = 0 0 + -1v = -12 + -72 -1v = -12 + -72 Combine like terms: -12 + -72 = -84 -1v = -84 Divide each side by '-1'. v = 84 Simplifying v = 84
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