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Simplifying 3(1 + 4m) + -2(5m + -3) = 25 (1 * 3 + 4m * 3) + -2(5m + -3) = 25 (3 + 12m) + -2(5m + -3) = 25 Reorder the terms: 3 + 12m + -2(-3 + 5m) = 25 3 + 12m + (-3 * -2 + 5m * -2) = 25 3 + 12m + (6 + -10m) = 25 Reorder the terms: 3 + 6 + 12m + -10m = 25 Combine like terms: 3 + 6 = 9 9 + 12m + -10m = 25 Combine like terms: 12m + -10m = 2m 9 + 2m = 25 Solving 9 + 2m = 25 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2m = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 25 + -9 2m = 25 + -9 Combine like terms: 25 + -9 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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