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Simplifying (n + 2) + (n + 4) + (n + 6) + (n + 8) = 402 Reorder the terms: (2 + n) + (n + 4) + (n + 6) + (n + 8) = 402 Remove parenthesis around (2 + n) 2 + n + (n + 4) + (n + 6) + (n + 8) = 402 Reorder the terms: 2 + n + (4 + n) + (n + 6) + (n + 8) = 402 Remove parenthesis around (4 + n) 2 + n + 4 + n + (n + 6) + (n + 8) = 402 Reorder the terms: 2 + n + 4 + n + (6 + n) + (n + 8) = 402 Remove parenthesis around (6 + n) 2 + n + 4 + n + 6 + n + (n + 8) = 402 Reorder the terms: 2 + n + 4 + n + 6 + n + (8 + n) = 402 Remove parenthesis around (8 + n) 2 + n + 4 + n + 6 + n + 8 + n = 402 Reorder the terms: 2 + 4 + 6 + 8 + n + n + n + n = 402 Combine like terms: 2 + 4 = 6 6 + 6 + 8 + n + n + n + n = 402 Combine like terms: 6 + 6 = 12 12 + 8 + n + n + n + n = 402 Combine like terms: 12 + 8 = 20 20 + n + n + n + n = 402 Combine like terms: n + n = 2n 20 + 2n + n + n = 402 Combine like terms: 2n + n = 3n 20 + 3n + n = 402 Combine like terms: 3n + n = 4n 20 + 4n = 402 Solving 20 + 4n = 402 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4n = 402 + -20 Combine like terms: 20 + -20 = 0 0 + 4n = 402 + -20 4n = 402 + -20 Combine like terms: 402 + -20 = 382 4n = 382 Divide each side by '4'. n = 95.5 Simplifying n = 95.5
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