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Simplifying 3(2m + 8) = 4(3m + 2) Reorder the terms: 3(8 + 2m) = 4(3m + 2) (8 * 3 + 2m * 3) = 4(3m + 2) (24 + 6m) = 4(3m + 2) Reorder the terms: 24 + 6m = 4(2 + 3m) 24 + 6m = (2 * 4 + 3m * 4) 24 + 6m = (8 + 12m) Solving 24 + 6m = 8 + 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. 24 + 6m + -12m = 8 + 12m + -12m Combine like terms: 6m + -12m = -6m 24 + -6m = 8 + 12m + -12m Combine like terms: 12m + -12m = 0 24 + -6m = 8 + 0 24 + -6m = 8 Add '-24' to each side of the equation. 24 + -24 + -6m = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -6m = 8 + -24 -6m = 8 + -24 Combine like terms: 8 + -24 = -16 -6m = -16 Divide each side by '-6'. m = 2.666666667 Simplifying m = 2.666666667
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