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Simplifying 4(3m + 4) = 2(6n + 8) Reorder the terms: 4(4 + 3m) = 2(6n + 8) (4 * 4 + 3m * 4) = 2(6n + 8) (16 + 12m) = 2(6n + 8) Reorder the terms: 16 + 12m = 2(8 + 6n) 16 + 12m = (8 * 2 + 6n * 2) 16 + 12m = (16 + 12n) Add '-16' to each side of the equation. 16 + -16 + 12m = 16 + -16 + 12n Combine like terms: 16 + -16 = 0 0 + 12m = 16 + -16 + 12n 12m = 16 + -16 + 12n Combine like terms: 16 + -16 = 0 12m = 0 + 12n 12m = 12n Solving 12m = 12n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '12'. m = n Simplifying m = n
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