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