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Simplifying 3(3n + 4) = 54 + 6n Reorder the terms: 3(4 + 3n) = 54 + 6n (4 * 3 + 3n * 3) = 54 + 6n (12 + 9n) = 54 + 6n Solving 12 + 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. 12 + 9n + -6n = 54 + 6n + -6n Combine like terms: 9n + -6n = 3n 12 + 3n = 54 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 3n = 54 + 0 12 + 3n = 54 Add '-12' to each side of the equation. 12 + -12 + 3n = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 54 + -12 3n = 54 + -12 Combine like terms: 54 + -12 = 42 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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