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Simplifying 16 + 0.1(1.2m + 18) = 0.4(0.8m + -74.5) Reorder the terms: 16 + 0.1(18 + 1.2m) = 0.4(0.8m + -74.5) 16 + (18 * 0.1 + 1.2m * 0.1) = 0.4(0.8m + -74.5) 16 + (1.8 + 0.12m) = 0.4(0.8m + -74.5) Combine like terms: 16 + 1.8 = 17.8 17.8 + 0.12m = 0.4(0.8m + -74.5) Reorder the terms: 17.8 + 0.12m = 0.4(-74.5 + 0.8m) 17.8 + 0.12m = (-74.5 * 0.4 + 0.8m * 0.4) 17.8 + 0.12m = (-29.8 + 0.32m) Solving 17.8 + 0.12m = -29.8 + 0.32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.32m' to each side of the equation. 17.8 + 0.12m + -0.32m = -29.8 + 0.32m + -0.32m Combine like terms: 0.12m + -0.32m = -0.2m 17.8 + -0.2m = -29.8 + 0.32m + -0.32m Combine like terms: 0.32m + -0.32m = 0.00 17.8 + -0.2m = -29.8 + 0.00 17.8 + -0.2m = -29.8 Add '-17.8' to each side of the equation. 17.8 + -17.8 + -0.2m = -29.8 + -17.8 Combine like terms: 17.8 + -17.8 = 0.0 0.0 + -0.2m = -29.8 + -17.8 -0.2m = -29.8 + -17.8 Combine like terms: -29.8 + -17.8 = -47.6 -0.2m = -47.6 Divide each side by '-0.2'. m = 238 Simplifying m = 238
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