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Simplifying 6 + 3(4n + 5) + -1n = 0 Reorder the terms: 6 + 3(5 + 4n) + -1n = 0 6 + (5 * 3 + 4n * 3) + -1n = 0 6 + (15 + 12n) + -1n = 0 Combine like terms: 6 + 15 = 21 21 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 21 + 11n = 0 Solving 21 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 11n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 11n = 0 + -21 11n = 0 + -21 Combine like terms: 0 + -21 = -21 11n = -21 Divide each side by '11'. n = -1.909090909 Simplifying n = -1.909090909
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