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Simplifying 17(n + 5) = 8n + 175 Reorder the terms: 17(5 + n) = 8n + 175 (5 * 17 + n * 17) = 8n + 175 (85 + 17n) = 8n + 175 Reorder the terms: 85 + 17n = 175 + 8n Solving 85 + 17n = 175 + 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. 85 + 17n + -8n = 175 + 8n + -8n Combine like terms: 17n + -8n = 9n 85 + 9n = 175 + 8n + -8n Combine like terms: 8n + -8n = 0 85 + 9n = 175 + 0 85 + 9n = 175 Add '-85' to each side of the equation. 85 + -85 + 9n = 175 + -85 Combine like terms: 85 + -85 = 0 0 + 9n = 175 + -85 9n = 175 + -85 Combine like terms: 175 + -85 = 90 9n = 90 Divide each side by '9'. n = 10 Simplifying n = 10
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