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Simplifying 9(3n + 1) = 6(9n + 7) + 6 Reorder the terms: 9(1 + 3n) = 6(9n + 7) + 6 (1 * 9 + 3n * 9) = 6(9n + 7) + 6 (9 + 27n) = 6(9n + 7) + 6 Reorder the terms: 9 + 27n = 6(7 + 9n) + 6 9 + 27n = (7 * 6 + 9n * 6) + 6 9 + 27n = (42 + 54n) + 6 Reorder the terms: 9 + 27n = 42 + 6 + 54n Combine like terms: 42 + 6 = 48 9 + 27n = 48 + 54n Solving 9 + 27n = 48 + 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 = 48 + 54n + -54n Combine like terms: 27n + -54n = -27n 9 + -27n = 48 + 54n + -54n Combine like terms: 54n + -54n = 0 9 + -27n = 48 + 0 9 + -27n = 48 Add '-9' to each side of the equation. 9 + -9 + -27n = 48 + -9 Combine like terms: 9 + -9 = 0 0 + -27n = 48 + -9 -27n = 48 + -9 Combine like terms: 48 + -9 = 39 -27n = 39 Divide each side by '-27'. n = -1.444444444 Simplifying n = -1.444444444
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