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Simplifying 3(2m + 4) = 3(8 + -2m) Reorder the terms: 3(4 + 2m) = 3(8 + -2m) (4 * 3 + 2m * 3) = 3(8 + -2m) (12 + 6m) = 3(8 + -2m) 12 + 6m = (8 * 3 + -2m * 3) 12 + 6m = (24 + -6m) Solving 12 + 6m = 24 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 12 + 6m + 6m = 24 + -6m + 6m Combine like terms: 6m + 6m = 12m 12 + 12m = 24 + -6m + 6m Combine like terms: -6m + 6m = 0 12 + 12m = 24 + 0 12 + 12m = 24 Add '-12' to each side of the equation. 12 + -12 + 12m = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 12m = 24 + -12 12m = 24 + -12 Combine like terms: 24 + -12 = 12 12m = 12 Divide each side by '12'. m = 1 Simplifying m = 1
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