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Simplifying 7(3n + 5) = 7(7n + 2) + 4 Reorder the terms: 7(5 + 3n) = 7(7n + 2) + 4 (5 * 7 + 3n * 7) = 7(7n + 2) + 4 (35 + 21n) = 7(7n + 2) + 4 Reorder the terms: 35 + 21n = 7(2 + 7n) + 4 35 + 21n = (2 * 7 + 7n * 7) + 4 35 + 21n = (14 + 49n) + 4 Reorder the terms: 35 + 21n = 14 + 4 + 49n Combine like terms: 14 + 4 = 18 35 + 21n = 18 + 49n Solving 35 + 21n = 18 + 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. 35 + 21n + -49n = 18 + 49n + -49n Combine like terms: 21n + -49n = -28n 35 + -28n = 18 + 49n + -49n Combine like terms: 49n + -49n = 0 35 + -28n = 18 + 0 35 + -28n = 18 Add '-35' to each side of the equation. 35 + -35 + -28n = 18 + -35 Combine like terms: 35 + -35 = 0 0 + -28n = 18 + -35 -28n = 18 + -35 Combine like terms: 18 + -35 = -17 -28n = -17 Divide each side by '-28'. n = 0.6071428571 Simplifying n = 0.6071428571
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