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Simplifying 0.32 = 0.4m + (1 + -1m) * 0.3 Reorder the terms for easier multiplication: 0.32 = 0.4m + 0.3(1 + -1m) 0.32 = 0.4m + (1 * 0.3 + -1m * 0.3) 0.32 = 0.4m + (0.3 + -0.3m) Reorder the terms: 0.32 = 0.3 + 0.4m + -0.3m Combine like terms: 0.4m + -0.3m = 0.1m 0.32 = 0.3 + 0.1m Solving 0.32 = 0.3 + 0.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.1m' to each side of the equation. 0.32 + -0.1m = 0.3 + 0.1m + -0.1m Combine like terms: 0.1m + -0.1m = 0.0 0.32 + -0.1m = 0.3 + 0.0 0.32 + -0.1m = 0.3 Add '-0.32' to each side of the equation. 0.32 + -0.32 + -0.1m = 0.3 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -0.1m = 0.3 + -0.32 -0.1m = 0.3 + -0.32 Combine like terms: 0.3 + -0.32 = -0.02 -0.1m = -0.02 Divide each side by '-0.1'. m = 0.2 Simplifying m = 0.2
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