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Simplifying 9(3n + 3) = 7(2n + 4) + 6 Reorder the terms: 9(3 + 3n) = 7(2n + 4) + 6 (3 * 9 + 3n * 9) = 7(2n + 4) + 6 (27 + 27n) = 7(2n + 4) + 6 Reorder the terms: 27 + 27n = 7(4 + 2n) + 6 27 + 27n = (4 * 7 + 2n * 7) + 6 27 + 27n = (28 + 14n) + 6 Reorder the terms: 27 + 27n = 28 + 6 + 14n Combine like terms: 28 + 6 = 34 27 + 27n = 34 + 14n Solving 27 + 27n = 34 + 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. 27 + 27n + -14n = 34 + 14n + -14n Combine like terms: 27n + -14n = 13n 27 + 13n = 34 + 14n + -14n Combine like terms: 14n + -14n = 0 27 + 13n = 34 + 0 27 + 13n = 34 Add '-27' to each side of the equation. 27 + -27 + 13n = 34 + -27 Combine like terms: 27 + -27 = 0 0 + 13n = 34 + -27 13n = 34 + -27 Combine like terms: 34 + -27 = 7 13n = 7 Divide each side by '13'. n = 0.5384615385 Simplifying n = 0.5384615385
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