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Simplifying 2(m + 8) + -3(4m + -5) = 5m + -14 Reorder the terms: 2(8 + m) + -3(4m + -5) = 5m + -14 (8 * 2 + m * 2) + -3(4m + -5) = 5m + -14 (16 + 2m) + -3(4m + -5) = 5m + -14 Reorder the terms: 16 + 2m + -3(-5 + 4m) = 5m + -14 16 + 2m + (-5 * -3 + 4m * -3) = 5m + -14 16 + 2m + (15 + -12m) = 5m + -14 Reorder the terms: 16 + 15 + 2m + -12m = 5m + -14 Combine like terms: 16 + 15 = 31 31 + 2m + -12m = 5m + -14 Combine like terms: 2m + -12m = -10m 31 + -10m = 5m + -14 Reorder the terms: 31 + -10m = -14 + 5m Solving 31 + -10m = -14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 31 + -10m + -5m = -14 + 5m + -5m Combine like terms: -10m + -5m = -15m 31 + -15m = -14 + 5m + -5m Combine like terms: 5m + -5m = 0 31 + -15m = -14 + 0 31 + -15m = -14 Add '-31' to each side of the equation. 31 + -31 + -15m = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -15m = -14 + -31 -15m = -14 + -31 Combine like terms: -14 + -31 = -45 -15m = -45 Divide each side by '-15'. m = 3 Simplifying m = 3
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