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Simplifying 0.33(9 + -6m) + 0.25(12m + -8) = 0 (9 * 0.33 + -6m * 0.33) + 0.25(12m + -8) = 0 (2.97 + -1.98m) + 0.25(12m + -8) = 0 Reorder the terms: 2.97 + -1.98m + 0.25(-8 + 12m) = 0 2.97 + -1.98m + (-8 * 0.25 + 12m * 0.25) = 0 2.97 + -1.98m + (-2 + 3m) = 0 Reorder the terms: 2.97 + -2 + -1.98m + 3m = 0 Combine like terms: 2.97 + -2 = 0.97 0.97 + -1.98m + 3m = 0 Combine like terms: -1.98m + 3m = 1.02m 0.97 + 1.02m = 0 Solving 0.97 + 1.02m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.97' to each side of the equation. 0.97 + -0.97 + 1.02m = 0 + -0.97 Combine like terms: 0.97 + -0.97 = 0.00 0.00 + 1.02m = 0 + -0.97 1.02m = 0 + -0.97 Combine like terms: 0 + -0.97 = -0.97 1.02m = -0.97 Divide each side by '1.02'. m = -0.9509803922 Simplifying m = -0.9509803922
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