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Simplifying 9(2n + 5) = 9(8n + 2) + 2 Reorder the terms: 9(5 + 2n) = 9(8n + 2) + 2 (5 * 9 + 2n * 9) = 9(8n + 2) + 2 (45 + 18n) = 9(8n + 2) + 2 Reorder the terms: 45 + 18n = 9(2 + 8n) + 2 45 + 18n = (2 * 9 + 8n * 9) + 2 45 + 18n = (18 + 72n) + 2 Reorder the terms: 45 + 18n = 18 + 2 + 72n Combine like terms: 18 + 2 = 20 45 + 18n = 20 + 72n Solving 45 + 18n = 20 + 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. 45 + 18n + -72n = 20 + 72n + -72n Combine like terms: 18n + -72n = -54n 45 + -54n = 20 + 72n + -72n Combine like terms: 72n + -72n = 0 45 + -54n = 20 + 0 45 + -54n = 20 Add '-45' to each side of the equation. 45 + -45 + -54n = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -54n = 20 + -45 -54n = 20 + -45 Combine like terms: 20 + -45 = -25 -54n = -25 Divide each side by '-54'. n = 0.462962963 Simplifying n = 0.462962963
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