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Simplifying 7(2n + 2) = 7(7n + 7) + 9 Reorder the terms: 7(2 + 2n) = 7(7n + 7) + 9 (2 * 7 + 2n * 7) = 7(7n + 7) + 9 (14 + 14n) = 7(7n + 7) + 9 Reorder the terms: 14 + 14n = 7(7 + 7n) + 9 14 + 14n = (7 * 7 + 7n * 7) + 9 14 + 14n = (49 + 49n) + 9 Reorder the terms: 14 + 14n = 49 + 9 + 49n Combine like terms: 49 + 9 = 58 14 + 14n = 58 + 49n Solving 14 + 14n = 58 + 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. 14 + 14n + -49n = 58 + 49n + -49n Combine like terms: 14n + -49n = -35n 14 + -35n = 58 + 49n + -49n Combine like terms: 49n + -49n = 0 14 + -35n = 58 + 0 14 + -35n = 58 Add '-14' to each side of the equation. 14 + -14 + -35n = 58 + -14 Combine like terms: 14 + -14 = 0 0 + -35n = 58 + -14 -35n = 58 + -14 Combine like terms: 58 + -14 = 44 -35n = 44 Divide each side by '-35'. n = -1.257142857 Simplifying n = -1.257142857
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