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Simplifying 9(2n + 2) = 9(8n + 8) + 6 Reorder the terms: 9(2 + 2n) = 9(8n + 8) + 6 (2 * 9 + 2n * 9) = 9(8n + 8) + 6 (18 + 18n) = 9(8n + 8) + 6 Reorder the terms: 18 + 18n = 9(8 + 8n) + 6 18 + 18n = (8 * 9 + 8n * 9) + 6 18 + 18n = (72 + 72n) + 6 Reorder the terms: 18 + 18n = 72 + 6 + 72n Combine like terms: 72 + 6 = 78 18 + 18n = 78 + 72n Solving 18 + 18n = 78 + 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 = 78 + 72n + -72n Combine like terms: 18n + -72n = -54n 18 + -54n = 78 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -54n = 78 + 0 18 + -54n = 78 Add '-18' to each side of the equation. 18 + -18 + -54n = 78 + -18 Combine like terms: 18 + -18 = 0 0 + -54n = 78 + -18 -54n = 78 + -18 Combine like terms: 78 + -18 = 60 -54n = 60 Divide each side by '-54'. n = -1.111111111 Simplifying n = -1.111111111
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