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Simplifying 9(3n + 1) = 6(9n + 5) + 3 Reorder the terms: 9(1 + 3n) = 6(9n + 5) + 3 (1 * 9 + 3n * 9) = 6(9n + 5) + 3 (9 + 27n) = 6(9n + 5) + 3 Reorder the terms: 9 + 27n = 6(5 + 9n) + 3 9 + 27n = (5 * 6 + 9n * 6) + 3 9 + 27n = (30 + 54n) + 3 Reorder the terms: 9 + 27n = 30 + 3 + 54n Combine like terms: 30 + 3 = 33 9 + 27n = 33 + 54n Solving 9 + 27n = 33 + 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 + 27n + -54n = 33 + 54n + -54n Combine like terms: 27n + -54n = -27n 9 + -27n = 33 + 54n + -54n Combine like terms: 54n + -54n = 0 9 + -27n = 33 + 0 9 + -27n = 33 Add '-9' to each side of the equation. 9 + -9 + -27n = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -27n = 33 + -9 -27n = 33 + -9 Combine like terms: 33 + -9 = 24 -27n = 24 Divide each side by '-27'. n = -0.8888888889 Simplifying n = -0.8888888889
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