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Simplifying 9(3n + 5) = 9(7n + 5) + 6 Reorder the terms: 9(5 + 3n) = 9(7n + 5) + 6 (5 * 9 + 3n * 9) = 9(7n + 5) + 6 (45 + 27n) = 9(7n + 5) + 6 Reorder the terms: 45 + 27n = 9(5 + 7n) + 6 45 + 27n = (5 * 9 + 7n * 9) + 6 45 + 27n = (45 + 63n) + 6 Reorder the terms: 45 + 27n = 45 + 6 + 63n Combine like terms: 45 + 6 = 51 45 + 27n = 51 + 63n Solving 45 + 27n = 51 + 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 = 51 + 63n + -63n Combine like terms: 27n + -63n = -36n 45 + -36n = 51 + 63n + -63n Combine like terms: 63n + -63n = 0 45 + -36n = 51 + 0 45 + -36n = 51 Add '-45' to each side of the equation. 45 + -45 + -36n = 51 + -45 Combine like terms: 45 + -45 = 0 0 + -36n = 51 + -45 -36n = 51 + -45 Combine like terms: 51 + -45 = 6 -36n = 6 Divide each side by '-36'. n = -0.1666666667 Simplifying n = -0.1666666667
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