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Simplifying 0.5(0.2m + 0.3) + -0.3m = -0.2(0.4m + 0.1) + -13 Reorder the terms: 0.5(0.3 + 0.2m) + -0.3m = -0.2(0.4m + 0.1) + -13 (0.3 * 0.5 + 0.2m * 0.5) + -0.3m = -0.2(0.4m + 0.1) + -13 (0.15 + 0.1m) + -0.3m = -0.2(0.4m + 0.1) + -13 Combine like terms: 0.1m + -0.3m = -0.2m 0.15 + -0.2m = -0.2(0.4m + 0.1) + -13 Reorder the terms: 0.15 + -0.2m = -0.2(0.1 + 0.4m) + -13 0.15 + -0.2m = (0.1 * -0.2 + 0.4m * -0.2) + -13 0.15 + -0.2m = (-0.02 + -0.08m) + -13 Reorder the terms: 0.15 + -0.2m = -0.02 + -13 + -0.08m Combine like terms: -0.02 + -13 = -13.02 0.15 + -0.2m = -13.02 + -0.08m Solving 0.15 + -0.2m = -13.02 + -0.08m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.08m' to each side of the equation. 0.15 + -0.2m + 0.08m = -13.02 + -0.08m + 0.08m Combine like terms: -0.2m + 0.08m = -0.12m 0.15 + -0.12m = -13.02 + -0.08m + 0.08m Combine like terms: -0.08m + 0.08m = 0.00 0.15 + -0.12m = -13.02 + 0.00 0.15 + -0.12m = -13.02 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.12m = -13.02 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.12m = -13.02 + -0.15 -0.12m = -13.02 + -0.15 Combine like terms: -13.02 + -0.15 = -13.17 -0.12m = -13.17 Divide each side by '-0.12'. m = 109.75 Simplifying m = 109.75
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