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Simplifying 8 + 3(3n + 5) + -1n = 0 Reorder the terms: 8 + 3(5 + 3n) + -1n = 0 8 + (5 * 3 + 3n * 3) + -1n = 0 8 + (15 + 9n) + -1n = 0 Combine like terms: 8 + 15 = 23 23 + 9n + -1n = 0 Combine like terms: 9n + -1n = 8n 23 + 8n = 0 Solving 23 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 8n = 0 + -23 8n = 0 + -23 Combine like terms: 0 + -23 = -23 8n = -23 Divide each side by '8'. n = -2.875 Simplifying n = -2.875
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