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Simplifying 5(3n + 2) = 9(8n + 9) + 5 Reorder the terms: 5(2 + 3n) = 9(8n + 9) + 5 (2 * 5 + 3n * 5) = 9(8n + 9) + 5 (10 + 15n) = 9(8n + 9) + 5 Reorder the terms: 10 + 15n = 9(9 + 8n) + 5 10 + 15n = (9 * 9 + 8n * 9) + 5 10 + 15n = (81 + 72n) + 5 Reorder the terms: 10 + 15n = 81 + 5 + 72n Combine like terms: 81 + 5 = 86 10 + 15n = 86 + 72n Solving 10 + 15n = 86 + 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. 10 + 15n + -72n = 86 + 72n + -72n Combine like terms: 15n + -72n = -57n 10 + -57n = 86 + 72n + -72n Combine like terms: 72n + -72n = 0 10 + -57n = 86 + 0 10 + -57n = 86 Add '-10' to each side of the equation. 10 + -10 + -57n = 86 + -10 Combine like terms: 10 + -10 = 0 0 + -57n = 86 + -10 -57n = 86 + -10 Combine like terms: 86 + -10 = 76 -57n = 76 Divide each side by '-57'. n = -1.333333333 Simplifying n = -1.333333333
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