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Simplifying 9(3n + 2) = 7(2n + 3) + 2 Reorder the terms: 9(2 + 3n) = 7(2n + 3) + 2 (2 * 9 + 3n * 9) = 7(2n + 3) + 2 (18 + 27n) = 7(2n + 3) + 2 Reorder the terms: 18 + 27n = 7(3 + 2n) + 2 18 + 27n = (3 * 7 + 2n * 7) + 2 18 + 27n = (21 + 14n) + 2 Reorder the terms: 18 + 27n = 21 + 2 + 14n Combine like terms: 21 + 2 = 23 18 + 27n = 23 + 14n Solving 18 + 27n = 23 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 18 + 27n + -14n = 23 + 14n + -14n Combine like terms: 27n + -14n = 13n 18 + 13n = 23 + 14n + -14n Combine like terms: 14n + -14n = 0 18 + 13n = 23 + 0 18 + 13n = 23 Add '-18' to each side of the equation. 18 + -18 + 13n = 23 + -18 Combine like terms: 18 + -18 = 0 0 + 13n = 23 + -18 13n = 23 + -18 Combine like terms: 23 + -18 = 5 13n = 5 Divide each side by '13'. n = 0.3846153846 Simplifying n = 0.3846153846
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