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Simplifying 0.5(12m + 8) = 4m + -8 Reorder the terms: 0.5(8 + 12m) = 4m + -8 (8 * 0.5 + 12m * 0.5) = 4m + -8 (4 + 6m) = 4m + -8 Reorder the terms: 4 + 6m = -8 + 4m Solving 4 + 6m = -8 + 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. 4 + 6m + -4m = -8 + 4m + -4m Combine like terms: 6m + -4m = 2m 4 + 2m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + 2m = -8 + 0 4 + 2m = -8 Add '-4' to each side of the equation. 4 + -4 + 2m = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = -8 + -4 2m = -8 + -4 Combine like terms: -8 + -4 = -12 2m = -12 Divide each side by '2'. m = -6 Simplifying m = -6
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