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Simplifying 3n + 6 = 46 + -5n Reorder the terms: 6 + 3n = 46 + -5n Solving 6 + 3n = 46 + -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. 6 + 3n + 5n = 46 + -5n + 5n Combine like terms: 3n + 5n = 8n 6 + 8n = 46 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + 8n = 46 + 0 6 + 8n = 46 Add '-6' to each side of the equation. 6 + -6 + 8n = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 46 + -6 8n = 46 + -6 Combine like terms: 46 + -6 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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