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Simplifying 8n + 17 = 5n + 35 Reorder the terms: 17 + 8n = 5n + 35 Reorder the terms: 17 + 8n = 35 + 5n Solving 17 + 8n = 35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 17 + 8n + -5n = 35 + 5n + -5n Combine like terms: 8n + -5n = 3n 17 + 3n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 17 + 3n = 35 + 0 17 + 3n = 35 Add '-17' to each side of the equation. 17 + -17 + 3n = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3n = 35 + -17 3n = 35 + -17 Combine like terms: 35 + -17 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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