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Simplifying 9(2n + 4) = 8(9n + 5) + 4 Reorder the terms: 9(4 + 2n) = 8(9n + 5) + 4 (4 * 9 + 2n * 9) = 8(9n + 5) + 4 (36 + 18n) = 8(9n + 5) + 4 Reorder the terms: 36 + 18n = 8(5 + 9n) + 4 36 + 18n = (5 * 8 + 9n * 8) + 4 36 + 18n = (40 + 72n) + 4 Reorder the terms: 36 + 18n = 40 + 4 + 72n Combine like terms: 40 + 4 = 44 36 + 18n = 44 + 72n Solving 36 + 18n = 44 + 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. 36 + 18n + -72n = 44 + 72n + -72n Combine like terms: 18n + -72n = -54n 36 + -54n = 44 + 72n + -72n Combine like terms: 72n + -72n = 0 36 + -54n = 44 + 0 36 + -54n = 44 Add '-36' to each side of the equation. 36 + -36 + -54n = 44 + -36 Combine like terms: 36 + -36 = 0 0 + -54n = 44 + -36 -54n = 44 + -36 Combine like terms: 44 + -36 = 8 -54n = 8 Divide each side by '-54'. n = -0.1481481481 Simplifying n = -0.1481481481
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