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Simplifying 9(2n + 1) = 9(8n + 9) + 8 Reorder the terms: 9(1 + 2n) = 9(8n + 9) + 8 (1 * 9 + 2n * 9) = 9(8n + 9) + 8 (9 + 18n) = 9(8n + 9) + 8 Reorder the terms: 9 + 18n = 9(9 + 8n) + 8 9 + 18n = (9 * 9 + 8n * 9) + 8 9 + 18n = (81 + 72n) + 8 Reorder the terms: 9 + 18n = 81 + 8 + 72n Combine like terms: 81 + 8 = 89 9 + 18n = 89 + 72n Solving 9 + 18n = 89 + 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. 9 + 18n + -72n = 89 + 72n + -72n Combine like terms: 18n + -72n = -54n 9 + -54n = 89 + 72n + -72n Combine like terms: 72n + -72n = 0 9 + -54n = 89 + 0 9 + -54n = 89 Add '-9' to each side of the equation. 9 + -9 + -54n = 89 + -9 Combine like terms: 9 + -9 = 0 0 + -54n = 89 + -9 -54n = 89 + -9 Combine like terms: 89 + -9 = 80 -54n = 80 Divide each side by '-54'. n = -1.481481481 Simplifying n = -1.481481481
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