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Simplifying 0.33(9 + -6m) + 0.75(12m + 8) = 0 (9 * 0.33 + -6m * 0.33) + 0.75(12m + 8) = 0 (2.97 + -1.98m) + 0.75(12m + 8) = 0 Reorder the terms: 2.97 + -1.98m + 0.75(8 + 12m) = 0 2.97 + -1.98m + (8 * 0.75 + 12m * 0.75) = 0 2.97 + -1.98m + (6 + 9m) = 0 Reorder the terms: 2.97 + 6 + -1.98m + 9m = 0 Combine like terms: 2.97 + 6 = 8.97 8.97 + -1.98m + 9m = 0 Combine like terms: -1.98m + 9m = 7.02m 8.97 + 7.02m = 0 Solving 8.97 + 7.02m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8.97' to each side of the equation. 8.97 + -8.97 + 7.02m = 0 + -8.97 Combine like terms: 8.97 + -8.97 = 0.00 0.00 + 7.02m = 0 + -8.97 7.02m = 0 + -8.97 Combine like terms: 0 + -8.97 = -8.97 7.02m = -8.97 Divide each side by '7.02'. m = -1.277777778 Simplifying m = -1.277777778
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