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Simplifying 4 + 8n = 4n + 12 Reorder the terms: 4 + 8n = 12 + 4n Solving 4 + 8n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 4 + 8n + -4n = 12 + 4n + -4n Combine like terms: 8n + -4n = 4n 4 + 4n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + 4n = 12 + 0 4 + 4n = 12 Add '-4' to each side of the equation. 4 + -4 + 4n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 12 + -4 4n = 12 + -4 Combine like terms: 12 + -4 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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