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Simplifying 9(2n + 1) = 7(7n + 7) + 6 Reorder the terms: 9(1 + 2n) = 7(7n + 7) + 6 (1 * 9 + 2n * 9) = 7(7n + 7) + 6 (9 + 18n) = 7(7n + 7) + 6 Reorder the terms: 9 + 18n = 7(7 + 7n) + 6 9 + 18n = (7 * 7 + 7n * 7) + 6 9 + 18n = (49 + 49n) + 6 Reorder the terms: 9 + 18n = 49 + 6 + 49n Combine like terms: 49 + 6 = 55 9 + 18n = 55 + 49n Solving 9 + 18n = 55 + 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 + 18n + -49n = 55 + 49n + -49n Combine like terms: 18n + -49n = -31n 9 + -31n = 55 + 49n + -49n Combine like terms: 49n + -49n = 0 9 + -31n = 55 + 0 9 + -31n = 55 Add '-9' to each side of the equation. 9 + -9 + -31n = 55 + -9 Combine like terms: 9 + -9 = 0 0 + -31n = 55 + -9 -31n = 55 + -9 Combine like terms: 55 + -9 = 46 -31n = 46 Divide each side by '-31'. n = -1.483870968 Simplifying n = -1.483870968
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