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Simplifying 3(2n + 1) + 3n + 8 = 92 Reorder the terms: 3(1 + 2n) + 3n + 8 = 92 (1 * 3 + 2n * 3) + 3n + 8 = 92 (3 + 6n) + 3n + 8 = 92 Reorder the terms: 3 + 8 + 6n + 3n = 92 Combine like terms: 3 + 8 = 11 11 + 6n + 3n = 92 Combine like terms: 6n + 3n = 9n 11 + 9n = 92 Solving 11 + 9n = 92 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9n = 92 + -11 Combine like terms: 11 + -11 = 0 0 + 9n = 92 + -11 9n = 92 + -11 Combine like terms: 92 + -11 = 81 9n = 81 Divide each side by '9'. n = 9 Simplifying n = 9
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