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Simplifying 9(3n + 3) = 9(5n + 8) + 5 Reorder the terms: 9(3 + 3n) = 9(5n + 8) + 5 (3 * 9 + 3n * 9) = 9(5n + 8) + 5 (27 + 27n) = 9(5n + 8) + 5 Reorder the terms: 27 + 27n = 9(8 + 5n) + 5 27 + 27n = (8 * 9 + 5n * 9) + 5 27 + 27n = (72 + 45n) + 5 Reorder the terms: 27 + 27n = 72 + 5 + 45n Combine like terms: 72 + 5 = 77 27 + 27n = 77 + 45n Solving 27 + 27n = 77 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 27 + 27n + -45n = 77 + 45n + -45n Combine like terms: 27n + -45n = -18n 27 + -18n = 77 + 45n + -45n Combine like terms: 45n + -45n = 0 27 + -18n = 77 + 0 27 + -18n = 77 Add '-27' to each side of the equation. 27 + -27 + -18n = 77 + -27 Combine like terms: 27 + -27 = 0 0 + -18n = 77 + -27 -18n = 77 + -27 Combine like terms: 77 + -27 = 50 -18n = 50 Divide each side by '-18'. n = -2.777777778 Simplifying n = -2.777777778
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