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Simplifying n + 4(n + 10) = 100 Reorder the terms: n + 4(10 + n) = 100 n + (10 * 4 + n * 4) = 100 n + (40 + 4n) = 100 Reorder the terms: 40 + n + 4n = 100 Combine like terms: n + 4n = 5n 40 + 5n = 100 Solving 40 + 5n = 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 + 5n = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 5n = 100 + -40 5n = 100 + -40 Combine like terms: 100 + -40 = 60 5n = 60 Divide each side by '5'. n = 12 Simplifying n = 12
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