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Simplifying 9(3n + 4) = 7(2n + 5) + 1 Reorder the terms: 9(4 + 3n) = 7(2n + 5) + 1 (4 * 9 + 3n * 9) = 7(2n + 5) + 1 (36 + 27n) = 7(2n + 5) + 1 Reorder the terms: 36 + 27n = 7(5 + 2n) + 1 36 + 27n = (5 * 7 + 2n * 7) + 1 36 + 27n = (35 + 14n) + 1 Reorder the terms: 36 + 27n = 35 + 1 + 14n Combine like terms: 35 + 1 = 36 36 + 27n = 36 + 14n Add '-36' to each side of the equation. 36 + -36 + 27n = 36 + -36 + 14n Combine like terms: 36 + -36 = 0 0 + 27n = 36 + -36 + 14n 27n = 36 + -36 + 14n Combine like terms: 36 + -36 = 0 27n = 0 + 14n 27n = 14n Solving 27n = 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. 27n + -14n = 14n + -14n Combine like terms: 27n + -14n = 13n 13n = 14n + -14n Combine like terms: 14n + -14n = 0 13n = 0 Divide each side by '13'. n = 0 Simplifying n = 0
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