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Simplifying 2 + 5(8n + 3) = 217 Reorder the terms: 2 + 5(3 + 8n) = 217 2 + (3 * 5 + 8n * 5) = 217 2 + (15 + 40n) = 217 Combine like terms: 2 + 15 = 17 17 + 40n = 217 Solving 17 + 40n = 217 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 40n = 217 + -17 Combine like terms: 17 + -17 = 0 0 + 40n = 217 + -17 40n = 217 + -17 Combine like terms: 217 + -17 = 200 40n = 200 Divide each side by '40'. n = 5 Simplifying n = 5
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