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Simplifying 7.8 + 2(0.75m + 0.4) = 6.4m + 4(0.5m + -0.8) Reorder the terms: 7.8 + 2(0.4 + 0.75m) = 6.4m + 4(0.5m + -0.8) 7.8 + (0.4 * 2 + 0.75m * 2) = 6.4m + 4(0.5m + -0.8) 7.8 + (0.8 + 1.5m) = 6.4m + 4(0.5m + -0.8) Combine like terms: 7.8 + 0.8 = 8.6 8.6 + 1.5m = 6.4m + 4(0.5m + -0.8) Reorder the terms: 8.6 + 1.5m = 6.4m + 4(-0.8 + 0.5m) 8.6 + 1.5m = 6.4m + (-0.8 * 4 + 0.5m * 4) 8.6 + 1.5m = 6.4m + (-3.2 + 2m) Reorder the terms: 8.6 + 1.5m = -3.2 + 6.4m + 2m Combine like terms: 6.4m + 2m = 8.4m 8.6 + 1.5m = -3.2 + 8.4m Solving 8.6 + 1.5m = -3.2 + 8.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8.4m' to each side of the equation. 8.6 + 1.5m + -8.4m = -3.2 + 8.4m + -8.4m Combine like terms: 1.5m + -8.4m = -6.9m 8.6 + -6.9m = -3.2 + 8.4m + -8.4m Combine like terms: 8.4m + -8.4m = 0.0 8.6 + -6.9m = -3.2 + 0.0 8.6 + -6.9m = -3.2 Add '-8.6' to each side of the equation. 8.6 + -8.6 + -6.9m = -3.2 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -6.9m = -3.2 + -8.6 -6.9m = -3.2 + -8.6 Combine like terms: -3.2 + -8.6 = -11.8 -6.9m = -11.8 Divide each side by '-6.9'. m = 1.710144928 Simplifying m = 1.710144928
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