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Simplifying 1 = 3(2m + 5) + 2(3m + 5) Reorder the terms: 1 = 3(5 + 2m) + 2(3m + 5) 1 = (5 * 3 + 2m * 3) + 2(3m + 5) 1 = (15 + 6m) + 2(3m + 5) Reorder the terms: 1 = 15 + 6m + 2(5 + 3m) 1 = 15 + 6m + (5 * 2 + 3m * 2) 1 = 15 + 6m + (10 + 6m) Reorder the terms: 1 = 15 + 10 + 6m + 6m Combine like terms: 15 + 10 = 25 1 = 25 + 6m + 6m Combine like terms: 6m + 6m = 12m 1 = 25 + 12m Solving 1 = 25 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 1 + -12m = 25 + 12m + -12m Combine like terms: 12m + -12m = 0 1 + -12m = 25 + 0 1 + -12m = 25 Add '-1' to each side of the equation. 1 + -1 + -12m = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -12m = 25 + -1 -12m = 25 + -1 Combine like terms: 25 + -1 = 24 -12m = 24 Divide each side by '-12'. m = -2 Simplifying m = -2
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