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Simplifying -9(6m + -3) + 2(m + 3) = 0 Reorder the terms: -9(-3 + 6m) + 2(m + 3) = 0 (-3 * -9 + 6m * -9) + 2(m + 3) = 0 (27 + -54m) + 2(m + 3) = 0 Reorder the terms: 27 + -54m + 2(3 + m) = 0 27 + -54m + (3 * 2 + m * 2) = 0 27 + -54m + (6 + 2m) = 0 Reorder the terms: 27 + 6 + -54m + 2m = 0 Combine like terms: 27 + 6 = 33 33 + -54m + 2m = 0 Combine like terms: -54m + 2m = -52m 33 + -52m = 0 Solving 33 + -52m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -52m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -52m = 0 + -33 -52m = 0 + -33 Combine like terms: 0 + -33 = -33 -52m = -33 Divide each side by '-52'. m = 0.6346153846 Simplifying m = 0.6346153846
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