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Simplifying 8 + 4(3n + 6) + -1n = 0 Reorder the terms: 8 + 4(6 + 3n) + -1n = 0 8 + (6 * 4 + 3n * 4) + -1n = 0 8 + (24 + 12n) + -1n = 0 Combine like terms: 8 + 24 = 32 32 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 32 + 11n = 0 Solving 32 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 11n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 11n = 0 + -32 11n = 0 + -32 Combine like terms: 0 + -32 = -32 11n = -32 Divide each side by '11'. n = -2.909090909 Simplifying n = -2.909090909
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