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Simplifying N + (n + 1) + (n + 2) + (n + 3) = 66 Reorder the terms: N + (1 + n) + (n + 2) + (n + 3) = 66 Remove parenthesis around (1 + n) N + 1 + n + (n + 2) + (n + 3) = 66 Reorder the terms: N + 1 + n + (2 + n) + (n + 3) = 66 Remove parenthesis around (2 + n) N + 1 + n + 2 + n + (n + 3) = 66 Reorder the terms: N + 1 + n + 2 + n + (3 + n) = 66 Remove parenthesis around (3 + n) N + 1 + n + 2 + n + 3 + n = 66 Reorder the terms: 1 + 2 + 3 + N + n + n + n = 66 Combine like terms: 1 + 2 = 3 3 + 3 + N + n + n + n = 66 Combine like terms: 3 + 3 = 6 6 + N + n + n + n = 66 Combine like terms: n + n = 2n 6 + N + 2n + n = 66 Combine like terms: 2n + n = 3n 6 + N + 3n = 66 Solving 6 + N + 3n = 66 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + N + -6 + 3n = 66 + -6 Reorder the terms: 6 + -6 + N + 3n = 66 + -6 Combine like terms: 6 + -6 = 0 0 + N + 3n = 66 + -6 N + 3n = 66 + -6 Combine like terms: 66 + -6 = 60 N + 3n = 60 Add '-3n' to each side of the equation. N + 3n + -3n = 60 + -3n Combine like terms: 3n + -3n = 0 N + 0 = 60 + -3n N = 60 + -3n Simplifying N = 60 + -3n
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