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Simplifying 5(m + 3) + 2(m + 8) = 0 Reorder the terms: 5(3 + m) + 2(m + 8) = 0 (3 * 5 + m * 5) + 2(m + 8) = 0 (15 + 5m) + 2(m + 8) = 0 Reorder the terms: 15 + 5m + 2(8 + m) = 0 15 + 5m + (8 * 2 + m * 2) = 0 15 + 5m + (16 + 2m) = 0 Reorder the terms: 15 + 16 + 5m + 2m = 0 Combine like terms: 15 + 16 = 31 31 + 5m + 2m = 0 Combine like terms: 5m + 2m = 7m 31 + 7m = 0 Solving 31 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 7m = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 7m = 0 + -31 7m = 0 + -31 Combine like terms: 0 + -31 = -31 7m = -31 Divide each side by '7'. m = -4.428571429 Simplifying m = -4.428571429
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