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Simplifying 9(3n + 2) = 9(9n + 9) + 8 Reorder the terms: 9(2 + 3n) = 9(9n + 9) + 8 (2 * 9 + 3n * 9) = 9(9n + 9) + 8 (18 + 27n) = 9(9n + 9) + 8 Reorder the terms: 18 + 27n = 9(9 + 9n) + 8 18 + 27n = (9 * 9 + 9n * 9) + 8 18 + 27n = (81 + 81n) + 8 Reorder the terms: 18 + 27n = 81 + 8 + 81n Combine like terms: 81 + 8 = 89 18 + 27n = 89 + 81n Solving 18 + 27n = 89 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 18 + 27n + -81n = 89 + 81n + -81n Combine like terms: 27n + -81n = -54n 18 + -54n = 89 + 81n + -81n Combine like terms: 81n + -81n = 0 18 + -54n = 89 + 0 18 + -54n = 89 Add '-18' to each side of the equation. 18 + -18 + -54n = 89 + -18 Combine like terms: 18 + -18 = 0 0 + -54n = 89 + -18 -54n = 89 + -18 Combine like terms: 89 + -18 = 71 -54n = 71 Divide each side by '-54'. n = -1.314814815 Simplifying n = -1.314814815
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