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Simplifying 3(4m + 8) = 4m + -16 Reorder the terms: 3(8 + 4m) = 4m + -16 (8 * 3 + 4m * 3) = 4m + -16 (24 + 12m) = 4m + -16 Reorder the terms: 24 + 12m = -16 + 4m Solving 24 + 12m = -16 + 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. 24 + 12m + -4m = -16 + 4m + -4m Combine like terms: 12m + -4m = 8m 24 + 8m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 24 + 8m = -16 + 0 24 + 8m = -16 Add '-24' to each side of the equation. 24 + -24 + 8m = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 8m = -16 + -24 8m = -16 + -24 Combine like terms: -16 + -24 = -40 8m = -40 Divide each side by '8'. m = -5 Simplifying m = -5
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