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Simplifying n + (n + 1) = 205 Reorder the terms: n + (1 + n) = 205 Remove parenthesis around (1 + n) n + 1 + n = 205 Reorder the terms: 1 + n + n = 205 Combine like terms: n + n = 2n 1 + 2n = 205 Solving 1 + 2n = 205 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n = 205 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 205 + -1 2n = 205 + -1 Combine like terms: 205 + -1 = 204 2n = 204 Divide each side by '2'. n = 102 Simplifying n = 102
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