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Simplifying (2n + 10) + (4n + -5) + (3n + -5) = 180 Reorder the terms: (10 + 2n) + (4n + -5) + (3n + -5) = 180 Remove parenthesis around (10 + 2n) 10 + 2n + (4n + -5) + (3n + -5) = 180 Reorder the terms: 10 + 2n + (-5 + 4n) + (3n + -5) = 180 Remove parenthesis around (-5 + 4n) 10 + 2n + -5 + 4n + (3n + -5) = 180 Reorder the terms: 10 + 2n + -5 + 4n + (-5 + 3n) = 180 Remove parenthesis around (-5 + 3n) 10 + 2n + -5 + 4n + -5 + 3n = 180 Reorder the terms: 10 + -5 + -5 + 2n + 4n + 3n = 180 Combine like terms: 10 + -5 = 5 5 + -5 + 2n + 4n + 3n = 180 Combine like terms: 5 + -5 = 0 0 + 2n + 4n + 3n = 180 2n + 4n + 3n = 180 Combine like terms: 2n + 4n = 6n 6n + 3n = 180 Combine like terms: 6n + 3n = 9n 9n = 180 Solving 9n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '9'. n = 20 Simplifying n = 20
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