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Simplifying 4(4m + 1) = 3(2m + 4) Reorder the terms: 4(1 + 4m) = 3(2m + 4) (1 * 4 + 4m * 4) = 3(2m + 4) (4 + 16m) = 3(2m + 4) Reorder the terms: 4 + 16m = 3(4 + 2m) 4 + 16m = (4 * 3 + 2m * 3) 4 + 16m = (12 + 6m) Solving 4 + 16m = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4 + 16m + -6m = 12 + 6m + -6m Combine like terms: 16m + -6m = 10m 4 + 10m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + 10m = 12 + 0 4 + 10m = 12 Add '-4' to each side of the equation. 4 + -4 + 10m = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 10m = 12 + -4 10m = 12 + -4 Combine like terms: 12 + -4 = 8 10m = 8 Divide each side by '10'. m = 0.8 Simplifying m = 0.8
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