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Simplifying 9(2n + 5) = 7(7n + 4) + 7 Reorder the terms: 9(5 + 2n) = 7(7n + 4) + 7 (5 * 9 + 2n * 9) = 7(7n + 4) + 7 (45 + 18n) = 7(7n + 4) + 7 Reorder the terms: 45 + 18n = 7(4 + 7n) + 7 45 + 18n = (4 * 7 + 7n * 7) + 7 45 + 18n = (28 + 49n) + 7 Reorder the terms: 45 + 18n = 28 + 7 + 49n Combine like terms: 28 + 7 = 35 45 + 18n = 35 + 49n Solving 45 + 18n = 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. 45 + 18n + -49n = 35 + 49n + -49n Combine like terms: 18n + -49n = -31n 45 + -31n = 35 + 49n + -49n Combine like terms: 49n + -49n = 0 45 + -31n = 35 + 0 45 + -31n = 35 Add '-45' to each side of the equation. 45 + -45 + -31n = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -31n = 35 + -45 -31n = 35 + -45 Combine like terms: 35 + -45 = -10 -31n = -10 Divide each side by '-31'. n = 0.3225806452 Simplifying n = 0.3225806452
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