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Simplifying (2n + -7) + (5n + 3) + (6n + 2) = 180 Reorder the terms: (-7 + 2n) + (5n + 3) + (6n + 2) = 180 Remove parenthesis around (-7 + 2n) -7 + 2n + (5n + 3) + (6n + 2) = 180 Reorder the terms: -7 + 2n + (3 + 5n) + (6n + 2) = 180 Remove parenthesis around (3 + 5n) -7 + 2n + 3 + 5n + (6n + 2) = 180 Reorder the terms: -7 + 2n + 3 + 5n + (2 + 6n) = 180 Remove parenthesis around (2 + 6n) -7 + 2n + 3 + 5n + 2 + 6n = 180 Reorder the terms: -7 + 3 + 2 + 2n + 5n + 6n = 180 Combine like terms: -7 + 3 = -4 -4 + 2 + 2n + 5n + 6n = 180 Combine like terms: -4 + 2 = -2 -2 + 2n + 5n + 6n = 180 Combine like terms: 2n + 5n = 7n -2 + 7n + 6n = 180 Combine like terms: 7n + 6n = 13n -2 + 13n = 180 Solving -2 + 13n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13n = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13n = 180 + 2 13n = 180 + 2 Combine like terms: 180 + 2 = 182 13n = 182 Divide each side by '13'. n = 14 Simplifying n = 14
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