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Simplifying 12n + -4 = 8n + 13 Reorder the terms: -4 + 12n = 8n + 13 Reorder the terms: -4 + 12n = 13 + 8n Solving -4 + 12n = 13 + 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. -4 + 12n + -8n = 13 + 8n + -8n Combine like terms: 12n + -8n = 4n -4 + 4n = 13 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + 4n = 13 + 0 -4 + 4n = 13 Add '4' to each side of the equation. -4 + 4 + 4n = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 13 + 4 4n = 13 + 4 Combine like terms: 13 + 4 = 17 4n = 17 Divide each side by '4'. n = 4.25 Simplifying n = 4.25
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