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Simplifying 3(n + 5) + 6(4n + -1) = 0 Reorder the terms: 3(5 + n) + 6(4n + -1) = 0 (5 * 3 + n * 3) + 6(4n + -1) = 0 (15 + 3n) + 6(4n + -1) = 0 Reorder the terms: 15 + 3n + 6(-1 + 4n) = 0 15 + 3n + (-1 * 6 + 4n * 6) = 0 15 + 3n + (-6 + 24n) = 0 Reorder the terms: 15 + -6 + 3n + 24n = 0 Combine like terms: 15 + -6 = 9 9 + 3n + 24n = 0 Combine like terms: 3n + 24n = 27n 9 + 27n = 0 Solving 9 + 27n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 27n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 27n = 0 + -9 27n = 0 + -9 Combine like terms: 0 + -9 = -9 27n = -9 Divide each side by '27'. n = -0.3333333333 Simplifying n = -0.3333333333
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