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Simplifying -5n + 3 + 8n + 1 = 43 Reorder the terms: 3 + 1 + -5n + 8n = 43 Combine like terms: 3 + 1 = 4 4 + -5n + 8n = 43 Combine like terms: -5n + 8n = 3n 4 + 3n = 43 Solving 4 + 3n = 43 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 + 3n = 43 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 43 + -4 3n = 43 + -4 Combine like terms: 43 + -4 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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