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Simplifying 5 + 2(4n + 6) + -1n = 0 Reorder the terms: 5 + 2(6 + 4n) + -1n = 0 5 + (6 * 2 + 4n * 2) + -1n = 0 5 + (12 + 8n) + -1n = 0 Combine like terms: 5 + 12 = 17 17 + 8n + -1n = 0 Combine like terms: 8n + -1n = 7n 17 + 7n = 0 Solving 17 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7n = 0 + -17 7n = 0 + -17 Combine like terms: 0 + -17 = -17 7n = -17 Divide each side by '7'. n = -2.428571429 Simplifying n = -2.428571429
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