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Simplifying 0.3(9 + -6m) + 0.25(12m + -8) = 0 (9 * 0.3 + -6m * 0.3) + 0.25(12m + -8) = 0 (2.7 + -1.8m) + 0.25(12m + -8) = 0 Reorder the terms: 2.7 + -1.8m + 0.25(-8 + 12m) = 0 2.7 + -1.8m + (-8 * 0.25 + 12m * 0.25) = 0 2.7 + -1.8m + (-2 + 3m) = 0 Reorder the terms: 2.7 + -2 + -1.8m + 3m = 0 Combine like terms: 2.7 + -2 = 0.7 0.7 + -1.8m + 3m = 0 Combine like terms: -1.8m + 3m = 1.2m 0.7 + 1.2m = 0 Solving 0.7 + 1.2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 1.2m = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1.2m = 0 + -0.7 1.2m = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 1.2m = -0.7 Divide each side by '1.2'. m = -0.5833333333 Simplifying m = -0.5833333333
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