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Simplifying 15 + -1(4m + -5) + 5m = 32 Reorder the terms: 15 + -1(-5 + 4m) + 5m = 32 15 + (-5 * -1 + 4m * -1) + 5m = 32 15 + (5 + -4m) + 5m = 32 Combine like terms: 15 + 5 = 20 20 + -4m + 5m = 32 Combine like terms: -4m + 5m = 1m 20 + 1m = 32 Solving 20 + 1m = 32 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1m = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 1m = 32 + -20 1m = 32 + -20 Combine like terms: 32 + -20 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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