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Simplifying 9(3n + 1) = 7(9n + 4) + 6 Reorder the terms: 9(1 + 3n) = 7(9n + 4) + 6 (1 * 9 + 3n * 9) = 7(9n + 4) + 6 (9 + 27n) = 7(9n + 4) + 6 Reorder the terms: 9 + 27n = 7(4 + 9n) + 6 9 + 27n = (4 * 7 + 9n * 7) + 6 9 + 27n = (28 + 63n) + 6 Reorder the terms: 9 + 27n = 28 + 6 + 63n Combine like terms: 28 + 6 = 34 9 + 27n = 34 + 63n Solving 9 + 27n = 34 + 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. 9 + 27n + -63n = 34 + 63n + -63n Combine like terms: 27n + -63n = -36n 9 + -36n = 34 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -36n = 34 + 0 9 + -36n = 34 Add '-9' to each side of the equation. 9 + -9 + -36n = 34 + -9 Combine like terms: 9 + -9 = 0 0 + -36n = 34 + -9 -36n = 34 + -9 Combine like terms: 34 + -9 = 25 -36n = 25 Divide each side by '-36'. n = -0.6944444444 Simplifying n = -0.6944444444
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