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Simplifying 3(3m + 9n + 2) = 0 Reorder the terms: 3(2 + 3m + 9n) = 0 (2 * 3 + 3m * 3 + 9n * 3) = 0 (6 + 9m + 27n) = 0 Solving 6 + 9m + 27n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9m + -6 + 27n = 0 + -6 Reorder the terms: 6 + -6 + 9m + 27n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9m + 27n = 0 + -6 9m + 27n = 0 + -6 Combine like terms: 0 + -6 = -6 9m + 27n = -6 Add '-27n' to each side of the equation. 9m + 27n + -27n = -6 + -27n Combine like terms: 27n + -27n = 0 9m + 0 = -6 + -27n 9m = -6 + -27n Divide each side by '9'. m = -0.6666666667 + -3n Simplifying m = -0.6666666667 + -3n
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