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Simplifying 2(6m + 8) = 4(2m + 8) Reorder the terms: 2(8 + 6m) = 4(2m + 8) (8 * 2 + 6m * 2) = 4(2m + 8) (16 + 12m) = 4(2m + 8) Reorder the terms: 16 + 12m = 4(8 + 2m) 16 + 12m = (8 * 4 + 2m * 4) 16 + 12m = (32 + 8m) Solving 16 + 12m = 32 + 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. 16 + 12m + -8m = 32 + 8m + -8m Combine like terms: 12m + -8m = 4m 16 + 4m = 32 + 8m + -8m Combine like terms: 8m + -8m = 0 16 + 4m = 32 + 0 16 + 4m = 32 Add '-16' to each side of the equation. 16 + -16 + 4m = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 4m = 32 + -16 4m = 32 + -16 Combine like terms: 32 + -16 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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