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Simplifying 0.1(2m + 3) + -4m = 1.1(2 + -3m + -2.4) Reorder the terms: 0.1(3 + 2m) + -4m = 1.1(2 + -3m + -2.4) (3 * 0.1 + 2m * 0.1) + -4m = 1.1(2 + -3m + -2.4) (0.3 + 0.2m) + -4m = 1.1(2 + -3m + -2.4) Combine like terms: 0.2m + -4m = -3.8m 0.3 + -3.8m = 1.1(2 + -3m + -2.4) Reorder the terms: 0.3 + -3.8m = 1.1(2 + -2.4 + -3m) Combine like terms: 2 + -2.4 = -0.4 0.3 + -3.8m = 1.1(-0.4 + -3m) 0.3 + -3.8m = (-0.4 * 1.1 + -3m * 1.1) 0.3 + -3.8m = (-0.44 + -3.3m) Solving 0.3 + -3.8m = -0.44 + -3.3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3.3m' to each side of the equation. 0.3 + -3.8m + 3.3m = -0.44 + -3.3m + 3.3m Combine like terms: -3.8m + 3.3m = -0.5m 0.3 + -0.5m = -0.44 + -3.3m + 3.3m Combine like terms: -3.3m + 3.3m = 0.0 0.3 + -0.5m = -0.44 + 0.0 0.3 + -0.5m = -0.44 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.5m = -0.44 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.5m = -0.44 + -0.3 -0.5m = -0.44 + -0.3 Combine like terms: -0.44 + -0.3 = -0.74 -0.5m = -0.74 Divide each side by '-0.5'. m = 1.48 Simplifying m = 1.48
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