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Simplifying 2(5m + 4) = 2(3m + 10) Reorder the terms: 2(4 + 5m) = 2(3m + 10) (4 * 2 + 5m * 2) = 2(3m + 10) (8 + 10m) = 2(3m + 10) Reorder the terms: 8 + 10m = 2(10 + 3m) 8 + 10m = (10 * 2 + 3m * 2) 8 + 10m = (20 + 6m) Solving 8 + 10m = 20 + 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. 8 + 10m + -6m = 20 + 6m + -6m Combine like terms: 10m + -6m = 4m 8 + 4m = 20 + 6m + -6m Combine like terms: 6m + -6m = 0 8 + 4m = 20 + 0 8 + 4m = 20 Add '-8' to each side of the equation. 8 + -8 + 4m = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 20 + -8 4m = 20 + -8 Combine like terms: 20 + -8 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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