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Simplifying 6(4 + 2m) = 40 + 8m (4 * 6 + 2m * 6) = 40 + 8m (24 + 12m) = 40 + 8m Solving 24 + 12m = 40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 24 + 12m + -8m = 40 + 8m + -8m Combine like terms: 12m + -8m = 4m 24 + 4m = 40 + 8m + -8m Combine like terms: 8m + -8m = 0 24 + 4m = 40 + 0 24 + 4m = 40 Add '-24' to each side of the equation. 24 + -24 + 4m = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 4m = 40 + -24 4m = 40 + -24 Combine like terms: 40 + -24 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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