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Simplifying 5 + 3n = 8 + -5n Solving 5 + 3n = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 5 + 3n + 5n = 8 + -5n + 5n Combine like terms: 3n + 5n = 8n 5 + 8n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 5 + 8n = 8 + 0 5 + 8n = 8 Add '-5' to each side of the equation. 5 + -5 + 8n = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = 8 + -5 8n = 8 + -5 Combine like terms: 8 + -5 = 3 8n = 3 Divide each side by '8'. n = 0.375 Simplifying n = 0.375
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