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Simplifying 6(n + 2) + -1(8 + -1n) = 0 Reorder the terms: 6(2 + n) + -1(8 + -1n) = 0 (2 * 6 + n * 6) + -1(8 + -1n) = 0 (12 + 6n) + -1(8 + -1n) = 0 12 + 6n + (8 * -1 + -1n * -1) = 0 12 + 6n + (-8 + 1n) = 0 Reorder the terms: 12 + -8 + 6n + 1n = 0 Combine like terms: 12 + -8 = 4 4 + 6n + 1n = 0 Combine like terms: 6n + 1n = 7n 4 + 7n = 0 Solving 4 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 0 + -4 7n = 0 + -4 Combine like terms: 0 + -4 = -4 7n = -4 Divide each side by '7'. n = -0.5714285714 Simplifying n = -0.5714285714
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