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Simplifying 15 = 2(5m + 10) + 3(5 + -4m) Reorder the terms: 15 = 2(10 + 5m) + 3(5 + -4m) 15 = (10 * 2 + 5m * 2) + 3(5 + -4m) 15 = (20 + 10m) + 3(5 + -4m) 15 = 20 + 10m + (5 * 3 + -4m * 3) 15 = 20 + 10m + (15 + -12m) Reorder the terms: 15 = 20 + 15 + 10m + -12m Combine like terms: 20 + 15 = 35 15 = 35 + 10m + -12m Combine like terms: 10m + -12m = -2m 15 = 35 + -2m Solving 15 = 35 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 15 + 2m = 35 + -2m + 2m Combine like terms: -2m + 2m = 0 15 + 2m = 35 + 0 15 + 2m = 35 Add '-15' to each side of the equation. 15 + -15 + 2m = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 2m = 35 + -15 2m = 35 + -15 Combine like terms: 35 + -15 = 20 2m = 20 Divide each side by '2'. m = 10 Simplifying m = 10
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