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Simplifying 12n + 7 = 8n + 15 Reorder the terms: 7 + 12n = 8n + 15 Reorder the terms: 7 + 12n = 15 + 8n Solving 7 + 12n = 15 + 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. 7 + 12n + -8n = 15 + 8n + -8n Combine like terms: 12n + -8n = 4n 7 + 4n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 4n = 15 + 0 7 + 4n = 15 Add '-7' to each side of the equation. 7 + -7 + 4n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 15 + -7 4n = 15 + -7 Combine like terms: 15 + -7 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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