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Simplifying 5(1 + -1m) + -2(1 + -1m) = 15 (1 * 5 + -1m * 5) + -2(1 + -1m) = 15 (5 + -5m) + -2(1 + -1m) = 15 5 + -5m + (1 * -2 + -1m * -2) = 15 5 + -5m + (-2 + 2m) = 15 Reorder the terms: 5 + -2 + -5m + 2m = 15 Combine like terms: 5 + -2 = 3 3 + -5m + 2m = 15 Combine like terms: -5m + 2m = -3m 3 + -3m = 15 Solving 3 + -3m = 15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3m = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = 15 + -3 -3m = 15 + -3 Combine like terms: 15 + -3 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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