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Simplifying 3(2m + 8) = 4m + -16 Reorder the terms: 3(8 + 2m) = 4m + -16 (8 * 3 + 2m * 3) = 4m + -16 (24 + 6m) = 4m + -16 Reorder the terms: 24 + 6m = -16 + 4m Solving 24 + 6m = -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 + 6m + -4m = -16 + 4m + -4m Combine like terms: 6m + -4m = 2m 24 + 2m = -16 + 4m + -4m Combine like terms: 4m + -4m = 0 24 + 2m = -16 + 0 24 + 2m = -16 Add '-24' to each side of the equation. 24 + -24 + 2m = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 2m = -16 + -24 2m = -16 + -24 Combine like terms: -16 + -24 = -40 2m = -40 Divide each side by '2'. m = -20 Simplifying m = -20
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