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Simplifying 0.5(10m + 40) = 100 Reorder the terms: 0.5(40 + 10m) = 100 (40 * 0.5 + 10m * 0.5) = 100 (20 + 5m) = 100 Solving 20 + 5m = 100 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5m = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 5m = 100 + -20 5m = 100 + -20 Combine like terms: 100 + -20 = 80 5m = 80 Divide each side by '5'. m = 16 Simplifying m = 16
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