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Simplifying 9(3n + 5) = 6(3n + 6) + 9 Reorder the terms: 9(5 + 3n) = 6(3n + 6) + 9 (5 * 9 + 3n * 9) = 6(3n + 6) + 9 (45 + 27n) = 6(3n + 6) + 9 Reorder the terms: 45 + 27n = 6(6 + 3n) + 9 45 + 27n = (6 * 6 + 3n * 6) + 9 45 + 27n = (36 + 18n) + 9 Reorder the terms: 45 + 27n = 36 + 9 + 18n Combine like terms: 36 + 9 = 45 45 + 27n = 45 + 18n Add '-45' to each side of the equation. 45 + -45 + 27n = 45 + -45 + 18n Combine like terms: 45 + -45 = 0 0 + 27n = 45 + -45 + 18n 27n = 45 + -45 + 18n Combine like terms: 45 + -45 = 0 27n = 0 + 18n 27n = 18n Solving 27n = 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. 27n + -18n = 18n + -18n Combine like terms: 27n + -18n = 9n 9n = 18n + -18n Combine like terms: 18n + -18n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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