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Simplifying 9(3n + 1) = 7(7n + 8) + 8 Reorder the terms: 9(1 + 3n) = 7(7n + 8) + 8 (1 * 9 + 3n * 9) = 7(7n + 8) + 8 (9 + 27n) = 7(7n + 8) + 8 Reorder the terms: 9 + 27n = 7(8 + 7n) + 8 9 + 27n = (8 * 7 + 7n * 7) + 8 9 + 27n = (56 + 49n) + 8 Reorder the terms: 9 + 27n = 56 + 8 + 49n Combine like terms: 56 + 8 = 64 9 + 27n = 64 + 49n Solving 9 + 27n = 64 + 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. 9 + 27n + -49n = 64 + 49n + -49n Combine like terms: 27n + -49n = -22n 9 + -22n = 64 + 49n + -49n Combine like terms: 49n + -49n = 0 9 + -22n = 64 + 0 9 + -22n = 64 Add '-9' to each side of the equation. 9 + -9 + -22n = 64 + -9 Combine like terms: 9 + -9 = 0 0 + -22n = 64 + -9 -22n = 64 + -9 Combine like terms: 64 + -9 = 55 -22n = 55 Divide each side by '-22'. n = -2.5 Simplifying n = -2.5
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