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Simplifying 5 + 2(4n + 5) + -1n = 0 Reorder the terms: 5 + 2(5 + 4n) + -1n = 0 5 + (5 * 2 + 4n * 2) + -1n = 0 5 + (10 + 8n) + -1n = 0 Combine like terms: 5 + 10 = 15 15 + 8n + -1n = 0 Combine like terms: 8n + -1n = 7n 15 + 7n = 0 Solving 15 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7n = 0 + -15 7n = 0 + -15 Combine like terms: 0 + -15 = -15 7n = -15 Divide each side by '7'. n = -2.142857143 Simplifying n = -2.142857143
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