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Simplifying 3(4m + 5) + -12 = 2m + 7 Reorder the terms: 3(5 + 4m) + -12 = 2m + 7 (5 * 3 + 4m * 3) + -12 = 2m + 7 (15 + 12m) + -12 = 2m + 7 Reorder the terms: 15 + -12 + 12m = 2m + 7 Combine like terms: 15 + -12 = 3 3 + 12m = 2m + 7 Reorder the terms: 3 + 12m = 7 + 2m Solving 3 + 12m = 7 + 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. 3 + 12m + -2m = 7 + 2m + -2m Combine like terms: 12m + -2m = 10m 3 + 10m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 10m = 7 + 0 3 + 10m = 7 Add '-3' to each side of the equation. 3 + -3 + 10m = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 10m = 7 + -3 10m = 7 + -3 Combine like terms: 7 + -3 = 4 10m = 4 Divide each side by '10'. m = 0.4 Simplifying m = 0.4
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