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Simplifying 3(3n + 5) = 9(8n + 2) + 9 Reorder the terms: 3(5 + 3n) = 9(8n + 2) + 9 (5 * 3 + 3n * 3) = 9(8n + 2) + 9 (15 + 9n) = 9(8n + 2) + 9 Reorder the terms: 15 + 9n = 9(2 + 8n) + 9 15 + 9n = (2 * 9 + 8n * 9) + 9 15 + 9n = (18 + 72n) + 9 Reorder the terms: 15 + 9n = 18 + 9 + 72n Combine like terms: 18 + 9 = 27 15 + 9n = 27 + 72n Solving 15 + 9n = 27 + 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. 15 + 9n + -72n = 27 + 72n + -72n Combine like terms: 9n + -72n = -63n 15 + -63n = 27 + 72n + -72n Combine like terms: 72n + -72n = 0 15 + -63n = 27 + 0 15 + -63n = 27 Add '-15' to each side of the equation. 15 + -15 + -63n = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -63n = 27 + -15 -63n = 27 + -15 Combine like terms: 27 + -15 = 12 -63n = 12 Divide each side by '-63'. n = -0.1904761905 Simplifying n = -0.1904761905
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