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