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Simplifying 9(3n + 2) = 7(7n + 7) + 5 Reorder the terms: 9(2 + 3n) = 7(7n + 7) + 5 (2 * 9 + 3n * 9) = 7(7n + 7) + 5 (18 + 27n) = 7(7n + 7) + 5 Reorder the terms: 18 + 27n = 7(7 + 7n) + 5 18 + 27n = (7 * 7 + 7n * 7) + 5 18 + 27n = (49 + 49n) + 5 Reorder the terms: 18 + 27n = 49 + 5 + 49n Combine like terms: 49 + 5 = 54 18 + 27n = 54 + 49n Solving 18 + 27n = 54 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 18 + 27n + -49n = 54 + 49n + -49n Combine like terms: 27n + -49n = -22n 18 + -22n = 54 + 49n + -49n Combine like terms: 49n + -49n = 0 18 + -22n = 54 + 0 18 + -22n = 54 Add '-18' to each side of the equation. 18 + -18 + -22n = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -22n = 54 + -18 -22n = 54 + -18 Combine like terms: 54 + -18 = 36 -22n = 36 Divide each side by '-22'. n = -1.636363636 Simplifying n = -1.636363636
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