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Simplifying 5(2m + 4) = 4m + -8 Reorder the terms: 5(4 + 2m) = 4m + -8 (4 * 5 + 2m * 5) = 4m + -8 (20 + 10m) = 4m + -8 Reorder the terms: 20 + 10m = -8 + 4m Solving 20 + 10m = -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. 20 + 10m + -4m = -8 + 4m + -4m Combine like terms: 10m + -4m = 6m 20 + 6m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 20 + 6m = -8 + 0 20 + 6m = -8 Add '-20' to each side of the equation. 20 + -20 + 6m = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 6m = -8 + -20 6m = -8 + -20 Combine like terms: -8 + -20 = -28 6m = -28 Divide each side by '6'. m = -4.666666667 Simplifying m = -4.666666667
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