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Simplifying 9(3n + 3) = 7(7n + 4) + 7 Reorder the terms: 9(3 + 3n) = 7(7n + 4) + 7 (3 * 9 + 3n * 9) = 7(7n + 4) + 7 (27 + 27n) = 7(7n + 4) + 7 Reorder the terms: 27 + 27n = 7(4 + 7n) + 7 27 + 27n = (4 * 7 + 7n * 7) + 7 27 + 27n = (28 + 49n) + 7 Reorder the terms: 27 + 27n = 28 + 7 + 49n Combine like terms: 28 + 7 = 35 27 + 27n = 35 + 49n Solving 27 + 27n = 35 + 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. 27 + 27n + -49n = 35 + 49n + -49n Combine like terms: 27n + -49n = -22n 27 + -22n = 35 + 49n + -49n Combine like terms: 49n + -49n = 0 27 + -22n = 35 + 0 27 + -22n = 35 Add '-27' to each side of the equation. 27 + -27 + -22n = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -22n = 35 + -27 -22n = 35 + -27 Combine like terms: 35 + -27 = 8 -22n = 8 Divide each side by '-22'. n = -0.3636363636 Simplifying n = -0.3636363636
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