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Simplifying (n + -2) + (n + -1) + n = 2010 Reorder the terms: (-2 + n) + (n + -1) + n = 2010 Remove parenthesis around (-2 + n) -2 + n + (n + -1) + n = 2010 Reorder the terms: -2 + n + (-1 + n) + n = 2010 Remove parenthesis around (-1 + n) -2 + n + -1 + n + n = 2010 Reorder the terms: -2 + -1 + n + n + n = 2010 Combine like terms: -2 + -1 = -3 -3 + n + n + n = 2010 Combine like terms: n + n = 2n -3 + 2n + n = 2010 Combine like terms: 2n + n = 3n -3 + 3n = 2010 Solving -3 + 3n = 2010 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3n = 2010 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 2010 + 3 3n = 2010 + 3 Combine like terms: 2010 + 3 = 2013 3n = 2013 Divide each side by '3'. n = 671 Simplifying n = 671
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