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Simplifying 228 = (9(n + 2)) * 6 + 6n Reorder the terms: 228 = (9(2 + n)) * 6 + 6n 228 = ((2 * 9 + n * 9)) * 6 + 6n 228 = ((18 + 9n)) * 6 + 6n Reorder the terms for easier multiplication: 228 = 6(18 + 9n) + 6n 228 = (18 * 6 + 9n * 6) + 6n 228 = (108 + 54n) + 6n Combine like terms: 54n + 6n = 60n 228 = 108 + 60n Solving 228 = 108 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. 228 + -60n = 108 + 60n + -60n Combine like terms: 60n + -60n = 0 228 + -60n = 108 + 0 228 + -60n = 108 Add '-228' to each side of the equation. 228 + -228 + -60n = 108 + -228 Combine like terms: 228 + -228 = 0 0 + -60n = 108 + -228 -60n = 108 + -228 Combine like terms: 108 + -228 = -120 -60n = -120 Divide each side by '-60'. n = 2 Simplifying n = 2
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