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Simplifying 3n + 5 = 8n + -9 Reorder the terms: 5 + 3n = 8n + -9 Reorder the terms: 5 + 3n = -9 + 8n Solving 5 + 3n = -9 + 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. 5 + 3n + -8n = -9 + 8n + -8n Combine like terms: 3n + -8n = -5n 5 + -5n = -9 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + -5n = -9 + 0 5 + -5n = -9 Add '-5' to each side of the equation. 5 + -5 + -5n = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = -9 + -5 -5n = -9 + -5 Combine like terms: -9 + -5 = -14 -5n = -14 Divide each side by '-5'. n = 2.8 Simplifying n = 2.8
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