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Simplifying 9(3n + 3) = 6(9n + 5) + 7 Reorder the terms: 9(3 + 3n) = 6(9n + 5) + 7 (3 * 9 + 3n * 9) = 6(9n + 5) + 7 (27 + 27n) = 6(9n + 5) + 7 Reorder the terms: 27 + 27n = 6(5 + 9n) + 7 27 + 27n = (5 * 6 + 9n * 6) + 7 27 + 27n = (30 + 54n) + 7 Reorder the terms: 27 + 27n = 30 + 7 + 54n Combine like terms: 30 + 7 = 37 27 + 27n = 37 + 54n Solving 27 + 27n = 37 + 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. 27 + 27n + -54n = 37 + 54n + -54n Combine like terms: 27n + -54n = -27n 27 + -27n = 37 + 54n + -54n Combine like terms: 54n + -54n = 0 27 + -27n = 37 + 0 27 + -27n = 37 Add '-27' to each side of the equation. 27 + -27 + -27n = 37 + -27 Combine like terms: 27 + -27 = 0 0 + -27n = 37 + -27 -27n = 37 + -27 Combine like terms: 37 + -27 = 10 -27n = 10 Divide each side by '-27'. n = -0.3703703704 Simplifying n = -0.3703703704
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