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Simplifying (n + 2) + (n + 3) + (n + 4) = -51 Reorder the terms: (2 + n) + (n + 3) + (n + 4) = -51 Remove parenthesis around (2 + n) 2 + n + (n + 3) + (n + 4) = -51 Reorder the terms: 2 + n + (3 + n) + (n + 4) = -51 Remove parenthesis around (3 + n) 2 + n + 3 + n + (n + 4) = -51 Reorder the terms: 2 + n + 3 + n + (4 + n) = -51 Remove parenthesis around (4 + n) 2 + n + 3 + n + 4 + n = -51 Reorder the terms: 2 + 3 + 4 + n + n + n = -51 Combine like terms: 2 + 3 = 5 5 + 4 + n + n + n = -51 Combine like terms: 5 + 4 = 9 9 + n + n + n = -51 Combine like terms: n + n = 2n 9 + 2n + n = -51 Combine like terms: 2n + n = 3n 9 + 3n = -51 Solving 9 + 3n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3n = -51 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = -51 + -9 3n = -51 + -9 Combine like terms: -51 + -9 = -60 3n = -60 Divide each side by '3'. n = -20 Simplifying n = -20
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