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Simplifying 6(3n + 3) = 9(8n + 2) + 1 Reorder the terms: 6(3 + 3n) = 9(8n + 2) + 1 (3 * 6 + 3n * 6) = 9(8n + 2) + 1 (18 + 18n) = 9(8n + 2) + 1 Reorder the terms: 18 + 18n = 9(2 + 8n) + 1 18 + 18n = (2 * 9 + 8n * 9) + 1 18 + 18n = (18 + 72n) + 1 Reorder the terms: 18 + 18n = 18 + 1 + 72n Combine like terms: 18 + 1 = 19 18 + 18n = 19 + 72n Solving 18 + 18n = 19 + 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. 18 + 18n + -72n = 19 + 72n + -72n Combine like terms: 18n + -72n = -54n 18 + -54n = 19 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -54n = 19 + 0 18 + -54n = 19 Add '-18' to each side of the equation. 18 + -18 + -54n = 19 + -18 Combine like terms: 18 + -18 = 0 0 + -54n = 19 + -18 -54n = 19 + -18 Combine like terms: 19 + -18 = 1 -54n = 1 Divide each side by '-54'. n = -0.01851851852 Simplifying n = -0.01851851852
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