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Simplifying 6 + 3(4n + 2) + -1n = 0 Reorder the terms: 6 + 3(2 + 4n) + -1n = 0 6 + (2 * 3 + 4n * 3) + -1n = 0 6 + (6 + 12n) + -1n = 0 Combine like terms: 6 + 6 = 12 12 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 12 + 11n = 0 Solving 12 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11n = 0 + -12 11n = 0 + -12 Combine like terms: 0 + -12 = -12 11n = -12 Divide each side by '11'. n = -1.090909091 Simplifying n = -1.090909091
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