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Simplifying 5(2m + 1) = 4m + 12 Reorder the terms: 5(1 + 2m) = 4m + 12 (1 * 5 + 2m * 5) = 4m + 12 (5 + 10m) = 4m + 12 Reorder the terms: 5 + 10m = 12 + 4m Solving 5 + 10m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 10m + -4m = 12 + 4m + -4m Combine like terms: 10m + -4m = 6m 5 + 6m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + 6m = 12 + 0 5 + 6m = 12 Add '-5' to each side of the equation. 5 + -5 + 6m = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 12 + -5 6m = 12 + -5 Combine like terms: 12 + -5 = 7 6m = 7 Divide each side by '6'. m = 1.166666667 Simplifying m = 1.166666667
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