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Simplifying 9(2n + 1) = 6(9n + 7) + 8 Reorder the terms: 9(1 + 2n) = 6(9n + 7) + 8 (1 * 9 + 2n * 9) = 6(9n + 7) + 8 (9 + 18n) = 6(9n + 7) + 8 Reorder the terms: 9 + 18n = 6(7 + 9n) + 8 9 + 18n = (7 * 6 + 9n * 6) + 8 9 + 18n = (42 + 54n) + 8 Reorder the terms: 9 + 18n = 42 + 8 + 54n Combine like terms: 42 + 8 = 50 9 + 18n = 50 + 54n Solving 9 + 18n = 50 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 9 + 18n + -54n = 50 + 54n + -54n Combine like terms: 18n + -54n = -36n 9 + -36n = 50 + 54n + -54n Combine like terms: 54n + -54n = 0 9 + -36n = 50 + 0 9 + -36n = 50 Add '-9' to each side of the equation. 9 + -9 + -36n = 50 + -9 Combine like terms: 9 + -9 = 0 0 + -36n = 50 + -9 -36n = 50 + -9 Combine like terms: 50 + -9 = 41 -36n = 41 Divide each side by '-36'. n = -1.138888889 Simplifying n = -1.138888889
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