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Simplifying 12n + 12 = 8n + 40 Reorder the terms: 12 + 12n = 8n + 40 Reorder the terms: 12 + 12n = 40 + 8n Solving 12 + 12n = 40 + 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. 12 + 12n + -8n = 40 + 8n + -8n Combine like terms: 12n + -8n = 4n 12 + 4n = 40 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + 4n = 40 + 0 12 + 4n = 40 Add '-12' to each side of the equation. 12 + -12 + 4n = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 40 + -12 4n = 40 + -12 Combine like terms: 40 + -12 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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