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Simplifying 0.3(6 + -1m) = 0.4(m + 8) (6 * 0.3 + -1m * 0.3) = 0.4(m + 8) (1.8 + -0.3m) = 0.4(m + 8) Reorder the terms: 1.8 + -0.3m = 0.4(8 + m) 1.8 + -0.3m = (8 * 0.4 + m * 0.4) 1.8 + -0.3m = (3.2 + 0.4m) Solving 1.8 + -0.3m = 3.2 + 0.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.4m' to each side of the equation. 1.8 + -0.3m + -0.4m = 3.2 + 0.4m + -0.4m Combine like terms: -0.3m + -0.4m = -0.7m 1.8 + -0.7m = 3.2 + 0.4m + -0.4m Combine like terms: 0.4m + -0.4m = 0.0 1.8 + -0.7m = 3.2 + 0.0 1.8 + -0.7m = 3.2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.7m = 3.2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.7m = 3.2 + -1.8 -0.7m = 3.2 + -1.8 Combine like terms: 3.2 + -1.8 = 1.4 -0.7m = 1.4 Divide each side by '-0.7'. m = -2 Simplifying m = -2
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