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Simplifying 9(2n + 2) = 8(9n + 9) + 4 Reorder the terms: 9(2 + 2n) = 8(9n + 9) + 4 (2 * 9 + 2n * 9) = 8(9n + 9) + 4 (18 + 18n) = 8(9n + 9) + 4 Reorder the terms: 18 + 18n = 8(9 + 9n) + 4 18 + 18n = (9 * 8 + 9n * 8) + 4 18 + 18n = (72 + 72n) + 4 Reorder the terms: 18 + 18n = 72 + 4 + 72n Combine like terms: 72 + 4 = 76 18 + 18n = 76 + 72n Solving 18 + 18n = 76 + 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 = 76 + 72n + -72n Combine like terms: 18n + -72n = -54n 18 + -54n = 76 + 72n + -72n Combine like terms: 72n + -72n = 0 18 + -54n = 76 + 0 18 + -54n = 76 Add '-18' to each side of the equation. 18 + -18 + -54n = 76 + -18 Combine like terms: 18 + -18 = 0 0 + -54n = 76 + -18 -54n = 76 + -18 Combine like terms: 76 + -18 = 58 -54n = 58 Divide each side by '-54'. n = -1.074074074 Simplifying n = -1.074074074
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