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