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Simplifying 9(3n + 5) = 7(9n + 6) + 2 Reorder the terms: 9(5 + 3n) = 7(9n + 6) + 2 (5 * 9 + 3n * 9) = 7(9n + 6) + 2 (45 + 27n) = 7(9n + 6) + 2 Reorder the terms: 45 + 27n = 7(6 + 9n) + 2 45 + 27n = (6 * 7 + 9n * 7) + 2 45 + 27n = (42 + 63n) + 2 Reorder the terms: 45 + 27n = 42 + 2 + 63n Combine like terms: 42 + 2 = 44 45 + 27n = 44 + 63n Solving 45 + 27n = 44 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 45 + 27n + -63n = 44 + 63n + -63n Combine like terms: 27n + -63n = -36n 45 + -36n = 44 + 63n + -63n Combine like terms: 63n + -63n = 0 45 + -36n = 44 + 0 45 + -36n = 44 Add '-45' to each side of the equation. 45 + -45 + -36n = 44 + -45 Combine like terms: 45 + -45 = 0 0 + -36n = 44 + -45 -36n = 44 + -45 Combine like terms: 44 + -45 = -1 -36n = -1 Divide each side by '-36'. n = 0.02777777778 Simplifying n = 0.02777777778
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