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Simplifying 9(2n + 3) = 8(9n + 8) + 5 Reorder the terms: 9(3 + 2n) = 8(9n + 8) + 5 (3 * 9 + 2n * 9) = 8(9n + 8) + 5 (27 + 18n) = 8(9n + 8) + 5 Reorder the terms: 27 + 18n = 8(8 + 9n) + 5 27 + 18n = (8 * 8 + 9n * 8) + 5 27 + 18n = (64 + 72n) + 5 Reorder the terms: 27 + 18n = 64 + 5 + 72n Combine like terms: 64 + 5 = 69 27 + 18n = 69 + 72n Solving 27 + 18n = 69 + 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. 27 + 18n + -72n = 69 + 72n + -72n Combine like terms: 18n + -72n = -54n 27 + -54n = 69 + 72n + -72n Combine like terms: 72n + -72n = 0 27 + -54n = 69 + 0 27 + -54n = 69 Add '-27' to each side of the equation. 27 + -27 + -54n = 69 + -27 Combine like terms: 27 + -27 = 0 0 + -54n = 69 + -27 -54n = 69 + -27 Combine like terms: 69 + -27 = 42 -54n = 42 Divide each side by '-54'. n = -0.7777777778 Simplifying n = -0.7777777778
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