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Simplifying 3n + 22 = 8n + 47 Reorder the terms: 22 + 3n = 8n + 47 Reorder the terms: 22 + 3n = 47 + 8n Solving 22 + 3n = 47 + 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. 22 + 3n + -8n = 47 + 8n + -8n Combine like terms: 3n + -8n = -5n 22 + -5n = 47 + 8n + -8n Combine like terms: 8n + -8n = 0 22 + -5n = 47 + 0 22 + -5n = 47 Add '-22' to each side of the equation. 22 + -22 + -5n = 47 + -22 Combine like terms: 22 + -22 = 0 0 + -5n = 47 + -22 -5n = 47 + -22 Combine like terms: 47 + -22 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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