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Simplifying 3(4m + 1) = 2(5m + 4) Reorder the terms: 3(1 + 4m) = 2(5m + 4) (1 * 3 + 4m * 3) = 2(5m + 4) (3 + 12m) = 2(5m + 4) Reorder the terms: 3 + 12m = 2(4 + 5m) 3 + 12m = (4 * 2 + 5m * 2) 3 + 12m = (8 + 10m) Solving 3 + 12m = 8 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 3 + 12m + -10m = 8 + 10m + -10m Combine like terms: 12m + -10m = 2m 3 + 2m = 8 + 10m + -10m Combine like terms: 10m + -10m = 0 3 + 2m = 8 + 0 3 + 2m = 8 Add '-3' to each side of the equation. 3 + -3 + 2m = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 8 + -3 2m = 8 + -3 Combine like terms: 8 + -3 = 5 2m = 5 Divide each side by '2'. m = 2.5 Simplifying m = 2.5
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