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Simplifying -8n + 5(4n + 8) = 100 Reorder the terms: -8n + 5(8 + 4n) = 100 -8n + (8 * 5 + 4n * 5) = 100 -8n + (40 + 20n) = 100 Reorder the terms: 40 + -8n + 20n = 100 Combine like terms: -8n + 20n = 12n 40 + 12n = 100 Solving 40 + 12n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 12n = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 12n = 100 + -40 12n = 100 + -40 Combine like terms: 100 + -40 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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