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Simplifying 5(m + 9) + 8(12 + m) = 0 Reorder the terms: 5(9 + m) + 8(12 + m) = 0 (9 * 5 + m * 5) + 8(12 + m) = 0 (45 + 5m) + 8(12 + m) = 0 45 + 5m + (12 * 8 + m * 8) = 0 45 + 5m + (96 + 8m) = 0 Reorder the terms: 45 + 96 + 5m + 8m = 0 Combine like terms: 45 + 96 = 141 141 + 5m + 8m = 0 Combine like terms: 5m + 8m = 13m 141 + 13m = 0 Solving 141 + 13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-141' to each side of the equation. 141 + -141 + 13m = 0 + -141 Combine like terms: 141 + -141 = 0 0 + 13m = 0 + -141 13m = 0 + -141 Combine like terms: 0 + -141 = -141 13m = -141 Divide each side by '13'. m = -10.84615385 Simplifying m = -10.84615385
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