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Simplifying 5(8n + 2) + 7 = 177 Reorder the terms: 5(2 + 8n) + 7 = 177 (2 * 5 + 8n * 5) + 7 = 177 (10 + 40n) + 7 = 177 Reorder the terms: 10 + 7 + 40n = 177 Combine like terms: 10 + 7 = 17 17 + 40n = 177 Solving 17 + 40n = 177 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 = 177 + -17 Combine like terms: 17 + -17 = 0 0 + 40n = 177 + -17 40n = 177 + -17 Combine like terms: 177 + -17 = 160 40n = 160 Divide each side by '40'. n = 4 Simplifying n = 4
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