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Simplifying 9(3n + 1) = 6(3n + 7) + 9 Reorder the terms: 9(1 + 3n) = 6(3n + 7) + 9 (1 * 9 + 3n * 9) = 6(3n + 7) + 9 (9 + 27n) = 6(3n + 7) + 9 Reorder the terms: 9 + 27n = 6(7 + 3n) + 9 9 + 27n = (7 * 6 + 3n * 6) + 9 9 + 27n = (42 + 18n) + 9 Reorder the terms: 9 + 27n = 42 + 9 + 18n Combine like terms: 42 + 9 = 51 9 + 27n = 51 + 18n Solving 9 + 27n = 51 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 9 + 27n + -18n = 51 + 18n + -18n Combine like terms: 27n + -18n = 9n 9 + 9n = 51 + 18n + -18n Combine like terms: 18n + -18n = 0 9 + 9n = 51 + 0 9 + 9n = 51 Add '-9' to each side of the equation. 9 + -9 + 9n = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = 51 + -9 9n = 51 + -9 Combine like terms: 51 + -9 = 42 9n = 42 Divide each side by '9'. n = 4.666666667 Simplifying n = 4.666666667
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