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Simplifying 228 = 9(n + 2) * 6 + 6n Reorder the terms: 228 = 9(2 + n) * 6 + 6n Reorder the terms for easier multiplication: 228 = 9 * 6(2 + n) + 6n Multiply 9 * 6 228 = 54(2 + n) + 6n 228 = (2 * 54 + n * 54) + 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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