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Simplifying (n + 1) + (n + 2) + (n + 3) + (n + 4) = 402 Reorder the terms: (1 + n) + (n + 2) + (n + 3) + (n + 4) = 402 Remove parenthesis around (1 + n) 1 + n + (n + 2) + (n + 3) + (n + 4) = 402 Reorder the terms: 1 + n + (2 + n) + (n + 3) + (n + 4) = 402 Remove parenthesis around (2 + n) 1 + n + 2 + n + (n + 3) + (n + 4) = 402 Reorder the terms: 1 + n + 2 + n + (3 + n) + (n + 4) = 402 Remove parenthesis around (3 + n) 1 + n + 2 + n + 3 + n + (n + 4) = 402 Reorder the terms: 1 + n + 2 + n + 3 + n + (4 + n) = 402 Remove parenthesis around (4 + n) 1 + n + 2 + n + 3 + n + 4 + n = 402 Reorder the terms: 1 + 2 + 3 + 4 + n + n + n + n = 402 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + n + n + n + n = 402 Combine like terms: 3 + 3 = 6 6 + 4 + n + n + n + n = 402 Combine like terms: 6 + 4 = 10 10 + n + n + n + n = 402 Combine like terms: n + n = 2n 10 + 2n + n + n = 402 Combine like terms: 2n + n = 3n 10 + 3n + n = 402 Combine like terms: 3n + n = 4n 10 + 4n = 402 Solving 10 + 4n = 402 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4n = 402 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 402 + -10 4n = 402 + -10 Combine like terms: 402 + -10 = 392 4n = 392 Divide each side by '4'. n = 98 Simplifying n = 98
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