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Simplifying 9(6m + 3) + 6(1 + 4m) = 0 Reorder the terms: 9(3 + 6m) + 6(1 + 4m) = 0 (3 * 9 + 6m * 9) + 6(1 + 4m) = 0 (27 + 54m) + 6(1 + 4m) = 0 27 + 54m + (1 * 6 + 4m * 6) = 0 27 + 54m + (6 + 24m) = 0 Reorder the terms: 27 + 6 + 54m + 24m = 0 Combine like terms: 27 + 6 = 33 33 + 54m + 24m = 0 Combine like terms: 54m + 24m = 78m 33 + 78m = 0 Solving 33 + 78m = 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 + 78m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 78m = 0 + -33 78m = 0 + -33 Combine like terms: 0 + -33 = -33 78m = -33 Divide each side by '78'. m = -0.4230769231 Simplifying m = -0.4230769231
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