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Simplifying 0.5(20m + 10) = 50 + 5m Reorder the terms: 0.5(10 + 20m) = 50 + 5m (10 * 0.5 + 20m * 0.5) = 50 + 5m (5 + 10m) = 50 + 5m Solving 5 + 10m = 50 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 5 + 10m + -5m = 50 + 5m + -5m Combine like terms: 10m + -5m = 5m 5 + 5m = 50 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + 5m = 50 + 0 5 + 5m = 50 Add '-5' to each side of the equation. 5 + -5 + 5m = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = 50 + -5 5m = 50 + -5 Combine like terms: 50 + -5 = 45 5m = 45 Divide each side by '5'. m = 9 Simplifying m = 9
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