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Simplifying 9(2 + 9n) = 12(6n + 2) + -6 (2 * 9 + 9n * 9) = 12(6n + 2) + -6 (18 + 81n) = 12(6n + 2) + -6 Reorder the terms: 18 + 81n = 12(2 + 6n) + -6 18 + 81n = (2 * 12 + 6n * 12) + -6 18 + 81n = (24 + 72n) + -6 Reorder the terms: 18 + 81n = 24 + -6 + 72n Combine like terms: 24 + -6 = 18 18 + 81n = 18 + 72n Add '-18' to each side of the equation. 18 + -18 + 81n = 18 + -18 + 72n Combine like terms: 18 + -18 = 0 0 + 81n = 18 + -18 + 72n 81n = 18 + -18 + 72n Combine like terms: 18 + -18 = 0 81n = 0 + 72n 81n = 72n Solving 81n = 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 81n + -72n = 72n + -72n Combine like terms: 81n + -72n = 9n 9n = 72n + -72n Combine like terms: 72n + -72n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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