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Simplifying n + (n + 2) + (n + 4) + (n + 6) = 123 + n + 2 Reorder the terms: n + (2 + n) + (n + 4) + (n + 6) = 123 + n + 2 Remove parenthesis around (2 + n) n + 2 + n + (n + 4) + (n + 6) = 123 + n + 2 Reorder the terms: n + 2 + n + (4 + n) + (n + 6) = 123 + n + 2 Remove parenthesis around (4 + n) n + 2 + n + 4 + n + (n + 6) = 123 + n + 2 Reorder the terms: n + 2 + n + 4 + n + (6 + n) = 123 + n + 2 Remove parenthesis around (6 + n) n + 2 + n + 4 + n + 6 + n = 123 + n + 2 Reorder the terms: 2 + 4 + 6 + n + n + n + n = 123 + n + 2 Combine like terms: 2 + 4 = 6 6 + 6 + n + n + n + n = 123 + n + 2 Combine like terms: 6 + 6 = 12 12 + n + n + n + n = 123 + n + 2 Combine like terms: n + n = 2n 12 + 2n + n + n = 123 + n + 2 Combine like terms: 2n + n = 3n 12 + 3n + n = 123 + n + 2 Combine like terms: 3n + n = 4n 12 + 4n = 123 + n + 2 Reorder the terms: 12 + 4n = 123 + 2 + n Combine like terms: 123 + 2 = 125 12 + 4n = 125 + n Solving 12 + 4n = 125 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + 4n + -1n = 125 + n + -1n Combine like terms: 4n + -1n = 3n 12 + 3n = 125 + n + -1n Combine like terms: n + -1n = 0 12 + 3n = 125 + 0 12 + 3n = 125 Add '-12' to each side of the equation. 12 + -12 + 3n = 125 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 125 + -12 3n = 125 + -12 Combine like terms: 125 + -12 = 113 3n = 113 Divide each side by '3'. n = 37.66666667 Simplifying n = 37.66666667
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