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Simplifying 4(3m + 4) = 2(6m + 8) + m Reorder the terms: 4(4 + 3m) = 2(6m + 8) + m (4 * 4 + 3m * 4) = 2(6m + 8) + m (16 + 12m) = 2(6m + 8) + m Reorder the terms: 16 + 12m = 2(8 + 6m) + m 16 + 12m = (8 * 2 + 6m * 2) + m 16 + 12m = (16 + 12m) + m Combine like terms: 12m + m = 13m 16 + 12m = 16 + 13m Add '-16' to each side of the equation. 16 + -16 + 12m = 16 + -16 + 13m Combine like terms: 16 + -16 = 0 0 + 12m = 16 + -16 + 13m 12m = 16 + -16 + 13m Combine like terms: 16 + -16 = 0 12m = 0 + 13m 12m = 13m Solving 12m = 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 12m + -13m = 13m + -13m Combine like terms: 12m + -13m = -1m -1m = 13m + -13m Combine like terms: 13m + -13m = 0 -1m = 0 Divide each side by '-1'. m = 0 Simplifying m = 0
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