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Simplifying 5(n + 5) = 34 + 8n Reorder the terms: 5(5 + n) = 34 + 8n (5 * 5 + n * 5) = 34 + 8n (25 + 5n) = 34 + 8n Solving 25 + 5n = 34 + 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. 25 + 5n + -8n = 34 + 8n + -8n Combine like terms: 5n + -8n = -3n 25 + -3n = 34 + 8n + -8n Combine like terms: 8n + -8n = 0 25 + -3n = 34 + 0 25 + -3n = 34 Add '-25' to each side of the equation. 25 + -25 + -3n = 34 + -25 Combine like terms: 25 + -25 = 0 0 + -3n = 34 + -25 -3n = 34 + -25 Combine like terms: 34 + -25 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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