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Simplifying 40 + 12n = 100 + 8n Solving 40 + 12n = 100 + 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. 40 + 12n + -8n = 100 + 8n + -8n Combine like terms: 12n + -8n = 4n 40 + 4n = 100 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + 4n = 100 + 0 40 + 4n = 100 Add '-40' to each side of the equation. 40 + -40 + 4n = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 4n = 100 + -40 4n = 100 + -40 Combine like terms: 100 + -40 = 60 4n = 60 Divide each side by '4'. n = 15 Simplifying n = 15
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