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Simplifying 9(2n + 2) = 8(9n + 4) + 9 Reorder the terms: 9(2 + 2n) = 8(9n + 4) + 9 (2 * 9 + 2n * 9) = 8(9n + 4) + 9 (18 + 18n) = 8(9n + 4) + 9 Reorder the terms: 18 + 18n = 8(4 + 9n) + 9 18 + 18n = (4 * 8 + 9n * 8) + 9 18 + 18n = (32 + 72n) + 9 Reorder the terms: 18 + 18n = 32 + 9 + 72n Combine like terms: 32 + 9 = 41 18 + 18n = 41 + 72n Solving 18 + 18n = 41 + 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 = 41 + 72n + -72n Combine like terms: 18n + -72n = -54n 18 + -54n = 41 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -54n = 41 + 0 18 + -54n = 41 Add '-18' to each side of the equation. 18 + -18 + -54n = 41 + -18 Combine like terms: 18 + -18 = 0 0 + -54n = 41 + -18 -54n = 41 + -18 Combine like terms: 41 + -18 = 23 -54n = 23 Divide each side by '-54'. n = -0.4259259259 Simplifying n = -0.4259259259
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