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Simplifying 6(3n + 5) = 7(7n + 4) + 8 Reorder the terms: 6(5 + 3n) = 7(7n + 4) + 8 (5 * 6 + 3n * 6) = 7(7n + 4) + 8 (30 + 18n) = 7(7n + 4) + 8 Reorder the terms: 30 + 18n = 7(4 + 7n) + 8 30 + 18n = (4 * 7 + 7n * 7) + 8 30 + 18n = (28 + 49n) + 8 Reorder the terms: 30 + 18n = 28 + 8 + 49n Combine like terms: 28 + 8 = 36 30 + 18n = 36 + 49n Solving 30 + 18n = 36 + 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. 30 + 18n + -49n = 36 + 49n + -49n Combine like terms: 18n + -49n = -31n 30 + -31n = 36 + 49n + -49n Combine like terms: 49n + -49n = 0 30 + -31n = 36 + 0 30 + -31n = 36 Add '-30' to each side of the equation. 30 + -30 + -31n = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -31n = 36 + -30 -31n = 36 + -30 Combine like terms: 36 + -30 = 6 -31n = 6 Divide each side by '-31'. n = -0.1935483871 Simplifying n = -0.1935483871
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