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Simplifying 3 + 2(4n + 5) + -1n = 0 Reorder the terms: 3 + 2(5 + 4n) + -1n = 0 3 + (5 * 2 + 4n * 2) + -1n = 0 3 + (10 + 8n) + -1n = 0 Combine like terms: 3 + 10 = 13 13 + 8n + -1n = 0 Combine like terms: 8n + -1n = 7n 13 + 7n = 0 Solving 13 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7n = 0 + -13 7n = 0 + -13 Combine like terms: 0 + -13 = -13 7n = -13 Divide each side by '7'. n = -1.857142857 Simplifying n = -1.857142857
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