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Simplifying n + (n + 1) = 83 Reorder the terms: n + (1 + n) = 83 Remove parenthesis around (1 + n) n + 1 + n = 83 Reorder the terms: 1 + n + n = 83 Combine like terms: n + n = 2n 1 + 2n = 83 Solving 1 + 2n = 83 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 = 83 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 83 + -1 2n = 83 + -1 Combine like terms: 83 + -1 = 82 2n = 82 Divide each side by '2'. n = 41 Simplifying n = 41
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