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Simplifying 8n + 5 = 3n + 30 Reorder the terms: 5 + 8n = 3n + 30 Reorder the terms: 5 + 8n = 30 + 3n Solving 5 + 8n = 30 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 8n + -3n = 30 + 3n + -3n Combine like terms: 8n + -3n = 5n 5 + 5n = 30 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 5n = 30 + 0 5 + 5n = 30 Add '-5' to each side of the equation. 5 + -5 + 5n = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = 30 + -5 5n = 30 + -5 Combine like terms: 30 + -5 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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