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Simplifying 3(3m + 4) = 2(6m + 8) Reorder the terms: 3(4 + 3m) = 2(6m + 8) (4 * 3 + 3m * 3) = 2(6m + 8) (12 + 9m) = 2(6m + 8) Reorder the terms: 12 + 9m = 2(8 + 6m) 12 + 9m = (8 * 2 + 6m * 2) 12 + 9m = (16 + 12m) Solving 12 + 9m = 16 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 12 + 9m + -12m = 16 + 12m + -12m Combine like terms: 9m + -12m = -3m 12 + -3m = 16 + 12m + -12m Combine like terms: 12m + -12m = 0 12 + -3m = 16 + 0 12 + -3m = 16 Add '-12' to each side of the equation. 12 + -12 + -3m = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -3m = 16 + -12 -3m = 16 + -12 Combine like terms: 16 + -12 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333
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