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Simplifying 2(3m + -1n + 9) = 0 Reorder the terms: 2(9 + 3m + -1n) = 0 (9 * 2 + 3m * 2 + -1n * 2) = 0 (18 + 6m + -2n) = 0 Solving 18 + 6m + -2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6m + -18 + -2n = 0 + -18 Reorder the terms: 18 + -18 + 6m + -2n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6m + -2n = 0 + -18 6m + -2n = 0 + -18 Combine like terms: 0 + -18 = -18 6m + -2n = -18 Add '2n' to each side of the equation. 6m + -2n + 2n = -18 + 2n Combine like terms: -2n + 2n = 0 6m + 0 = -18 + 2n 6m = -18 + 2n Divide each side by '6'. m = -3 + 0.3333333333n Simplifying m = -3 + 0.3333333333n
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