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Simplifying 3(7n + 5) + 6(n + 6) = 24 Reorder the terms: 3(5 + 7n) + 6(n + 6) = 24 (5 * 3 + 7n * 3) + 6(n + 6) = 24 (15 + 21n) + 6(n + 6) = 24 Reorder the terms: 15 + 21n + 6(6 + n) = 24 15 + 21n + (6 * 6 + n * 6) = 24 15 + 21n + (36 + 6n) = 24 Reorder the terms: 15 + 36 + 21n + 6n = 24 Combine like terms: 15 + 36 = 51 51 + 21n + 6n = 24 Combine like terms: 21n + 6n = 27n 51 + 27n = 24 Solving 51 + 27n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 27n = 24 + -51 Combine like terms: 51 + -51 = 0 0 + 27n = 24 + -51 27n = 24 + -51 Combine like terms: 24 + -51 = -27 27n = -27 Divide each side by '27'. n = -1 Simplifying n = -1
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