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Simplifying n + n + 10 + 2(n + 10) + 6 = 100 Reorder the terms: n + n + 10 + 2(10 + n) + 6 = 100 n + n + 10 + (10 * 2 + n * 2) + 6 = 100 n + n + 10 + (20 + 2n) + 6 = 100 Reorder the terms: 10 + 20 + 6 + n + n + 2n = 100 Combine like terms: 10 + 20 = 30 30 + 6 + n + n + 2n = 100 Combine like terms: 30 + 6 = 36 36 + n + n + 2n = 100 Combine like terms: n + n = 2n 36 + 2n + 2n = 100 Combine like terms: 2n + 2n = 4n 36 + 4n = 100 Solving 36 + 4n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4n = 100 + -36 Combine like terms: 36 + -36 = 0 0 + 4n = 100 + -36 4n = 100 + -36 Combine like terms: 100 + -36 = 64 4n = 64 Divide each side by '4'. n = 16 Simplifying n = 16
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