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Simplifying 6(3n + 1) = 7(7n + 3) + 5 Reorder the terms: 6(1 + 3n) = 7(7n + 3) + 5 (1 * 6 + 3n * 6) = 7(7n + 3) + 5 (6 + 18n) = 7(7n + 3) + 5 Reorder the terms: 6 + 18n = 7(3 + 7n) + 5 6 + 18n = (3 * 7 + 7n * 7) + 5 6 + 18n = (21 + 49n) + 5 Reorder the terms: 6 + 18n = 21 + 5 + 49n Combine like terms: 21 + 5 = 26 6 + 18n = 26 + 49n Solving 6 + 18n = 26 + 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. 6 + 18n + -49n = 26 + 49n + -49n Combine like terms: 18n + -49n = -31n 6 + -31n = 26 + 49n + -49n Combine like terms: 49n + -49n = 0 6 + -31n = 26 + 0 6 + -31n = 26 Add '-6' to each side of the equation. 6 + -6 + -31n = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -31n = 26 + -6 -31n = 26 + -6 Combine like terms: 26 + -6 = 20 -31n = 20 Divide each side by '-31'. n = -0.6451612903 Simplifying n = -0.6451612903
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