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Simplifying 3n + -27 = 13 + -5n Reorder the terms: -27 + 3n = 13 + -5n Solving -27 + 3n = 13 + -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. -27 + 3n + 5n = 13 + -5n + 5n Combine like terms: 3n + 5n = 8n -27 + 8n = 13 + -5n + 5n Combine like terms: -5n + 5n = 0 -27 + 8n = 13 + 0 -27 + 8n = 13 Add '27' to each side of the equation. -27 + 27 + 8n = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 8n = 13 + 27 8n = 13 + 27 Combine like terms: 13 + 27 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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