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Simplifying 0.50(40) = 0.20(40 + -1m) + 0.80m Multiply 0.50 * 40 20 = 0.20(40 + -1m) + 0.80m 20 = (40 * 0.20 + -1m * 0.20) + 0.80m 20 = (8 + -0.2m) + 0.80m Combine like terms: -0.2m + 0.80m = 0.6m 20 = 8 + 0.6m Solving 20 = 8 + 0.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.6m' to each side of the equation. 20 + -0.6m = 8 + 0.6m + -0.6m Combine like terms: 0.6m + -0.6m = 0.0 20 + -0.6m = 8 + 0.0 20 + -0.6m = 8 Add '-20' to each side of the equation. 20 + -20 + -0.6m = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -0.6m = 8 + -20 -0.6m = 8 + -20 Combine like terms: 8 + -20 = -12 -0.6m = -12 Divide each side by '-0.6'. m = 20 Simplifying m = 20
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