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Simplifying 9(3n + 5) = 7(9n + 9) + 5 Reorder the terms: 9(5 + 3n) = 7(9n + 9) + 5 (5 * 9 + 3n * 9) = 7(9n + 9) + 5 (45 + 27n) = 7(9n + 9) + 5 Reorder the terms: 45 + 27n = 7(9 + 9n) + 5 45 + 27n = (9 * 7 + 9n * 7) + 5 45 + 27n = (63 + 63n) + 5 Reorder the terms: 45 + 27n = 63 + 5 + 63n Combine like terms: 63 + 5 = 68 45 + 27n = 68 + 63n Solving 45 + 27n = 68 + 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 = 68 + 63n + -63n Combine like terms: 27n + -63n = -36n 45 + -36n = 68 + 63n + -63n Combine like terms: 63n + -63n = 0 45 + -36n = 68 + 0 45 + -36n = 68 Add '-45' to each side of the equation. 45 + -45 + -36n = 68 + -45 Combine like terms: 45 + -45 = 0 0 + -36n = 68 + -45 -36n = 68 + -45 Combine like terms: 68 + -45 = 23 -36n = 23 Divide each side by '-36'. n = -0.6388888889 Simplifying n = -0.6388888889
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