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Simplifying 3(3n + 5) = 9(9n + 9) + 8 Reorder the terms: 3(5 + 3n) = 9(9n + 9) + 8 (5 * 3 + 3n * 3) = 9(9n + 9) + 8 (15 + 9n) = 9(9n + 9) + 8 Reorder the terms: 15 + 9n = 9(9 + 9n) + 8 15 + 9n = (9 * 9 + 9n * 9) + 8 15 + 9n = (81 + 81n) + 8 Reorder the terms: 15 + 9n = 81 + 8 + 81n Combine like terms: 81 + 8 = 89 15 + 9n = 89 + 81n Solving 15 + 9n = 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. 15 + 9n + -81n = 89 + 81n + -81n Combine like terms: 9n + -81n = -72n 15 + -72n = 89 + 81n + -81n Combine like terms: 81n + -81n = 0 15 + -72n = 89 + 0 15 + -72n = 89 Add '-15' to each side of the equation. 15 + -15 + -72n = 89 + -15 Combine like terms: 15 + -15 = 0 0 + -72n = 89 + -15 -72n = 89 + -15 Combine like terms: 89 + -15 = 74 -72n = 74 Divide each side by '-72'. n = -1.027777778 Simplifying n = -1.027777778
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