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Simplifying 5n + 3n + -1n + 5 = 82 Reorder the terms: 5 + 5n + 3n + -1n = 82 Combine like terms: 5n + 3n = 8n 5 + 8n + -1n = 82 Combine like terms: 8n + -1n = 7n 5 + 7n = 82 Solving 5 + 7n = 82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7n = 82 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 82 + -5 7n = 82 + -5 Combine like terms: 82 + -5 = 77 7n = 77 Divide each side by '7'. n = 11 Simplifying n = 11
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