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Simplifying 3(3n + 40) = 54 + 6n Reorder the terms: 3(40 + 3n) = 54 + 6n (40 * 3 + 3n * 3) = 54 + 6n (120 + 9n) = 54 + 6n Solving 120 + 9n = 54 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 120 + 9n + -6n = 54 + 6n + -6n Combine like terms: 9n + -6n = 3n 120 + 3n = 54 + 6n + -6n Combine like terms: 6n + -6n = 0 120 + 3n = 54 + 0 120 + 3n = 54 Add '-120' to each side of the equation. 120 + -120 + 3n = 54 + -120 Combine like terms: 120 + -120 = 0 0 + 3n = 54 + -120 3n = 54 + -120 Combine like terms: 54 + -120 = -66 3n = -66 Divide each side by '3'. n = -22 Simplifying n = -22
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