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Simplifying (5n + -18) + (n + 10) + (157 + 5n) = 180 Reorder the terms: (-18 + 5n) + (n + 10) + (157 + 5n) = 180 Remove parenthesis around (-18 + 5n) -18 + 5n + (n + 10) + (157 + 5n) = 180 Reorder the terms: -18 + 5n + (10 + n) + (157 + 5n) = 180 Remove parenthesis around (10 + n) -18 + 5n + 10 + n + (157 + 5n) = 180 Remove parenthesis around (157 + 5n) -18 + 5n + 10 + n + 157 + 5n = 180 Reorder the terms: -18 + 10 + 157 + 5n + n + 5n = 180 Combine like terms: -18 + 10 = -8 -8 + 157 + 5n + n + 5n = 180 Combine like terms: -8 + 157 = 149 149 + 5n + n + 5n = 180 Combine like terms: 5n + n = 6n 149 + 6n + 5n = 180 Combine like terms: 6n + 5n = 11n 149 + 11n = 180 Solving 149 + 11n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + -149 + 11n = 180 + -149 Combine like terms: 149 + -149 = 0 0 + 11n = 180 + -149 11n = 180 + -149 Combine like terms: 180 + -149 = 31 11n = 31 Divide each side by '11'. n = 2.818181818 Simplifying n = 2.818181818
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