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Simplifying 0.2(3m + 2) + -2m = 1.1(3 + -4m) + -2.4 Reorder the terms: 0.2(2 + 3m) + -2m = 1.1(3 + -4m) + -2.4 (2 * 0.2 + 3m * 0.2) + -2m = 1.1(3 + -4m) + -2.4 (0.4 + 0.6m) + -2m = 1.1(3 + -4m) + -2.4 Combine like terms: 0.6m + -2m = -1.4m 0.4 + -1.4m = 1.1(3 + -4m) + -2.4 0.4 + -1.4m = (3 * 1.1 + -4m * 1.1) + -2.4 0.4 + -1.4m = (3.3 + -4.4m) + -2.4 Reorder the terms: 0.4 + -1.4m = 3.3 + -2.4 + -4.4m Combine like terms: 3.3 + -2.4 = 0.9 0.4 + -1.4m = 0.9 + -4.4m Solving 0.4 + -1.4m = 0.9 + -4.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4.4m' to each side of the equation. 0.4 + -1.4m + 4.4m = 0.9 + -4.4m + 4.4m Combine like terms: -1.4m + 4.4m = 3m 0.4 + 3m = 0.9 + -4.4m + 4.4m Combine like terms: -4.4m + 4.4m = 0.0 0.4 + 3m = 0.9 + 0.0 0.4 + 3m = 0.9 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 3m = 0.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 3m = 0.9 + -0.4 3m = 0.9 + -0.4 Combine like terms: 0.9 + -0.4 = 0.5 3m = 0.5 Divide each side by '3'. m = 0.1666666667 Simplifying m = 0.1666666667
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