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Simplifying 4(3m + 6) = (6m + 8) Reorder the terms: 4(6 + 3m) = (6m + 8) (6 * 4 + 3m * 4) = (6m + 8) (24 + 12m) = (6m + 8) Reorder the terms: 24 + 12m = (8 + 6m) Remove parenthesis around (8 + 6m) 24 + 12m = 8 + 6m Solving 24 + 12m = 8 + 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. 24 + 12m + -6m = 8 + 6m + -6m Combine like terms: 12m + -6m = 6m 24 + 6m = 8 + 6m + -6m Combine like terms: 6m + -6m = 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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