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Simplifying 10n + 17 = 3n + 5n Reorder the terms: 17 + 10n = 3n + 5n Combine like terms: 3n + 5n = 8n 17 + 10n = 8n Solving 17 + 10n = 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. 17 + 10n + -8n = 8n + -8n Combine like terms: 10n + -8n = 2n 17 + 2n = 8n + -8n Combine like terms: 8n + -8n = 0 17 + 2n = 0 Add '-17' to each side of the equation. 17 + -17 + 2n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2n = 0 + -17 2n = 0 + -17 Combine like terms: 0 + -17 = -17 2n = -17 Divide each side by '2'. n = -8.5 Simplifying n = -8.5
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