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Simplifying (3n + 22) + (2n + 18) = 180 Reorder the terms: (22 + 3n) + (2n + 18) = 180 Remove parenthesis around (22 + 3n) 22 + 3n + (2n + 18) = 180 Reorder the terms: 22 + 3n + (18 + 2n) = 180 Remove parenthesis around (18 + 2n) 22 + 3n + 18 + 2n = 180 Reorder the terms: 22 + 18 + 3n + 2n = 180 Combine like terms: 22 + 18 = 40 40 + 3n + 2n = 180 Combine like terms: 3n + 2n = 5n 40 + 5n = 180 Solving 40 + 5n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5n = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 5n = 180 + -40 5n = 180 + -40 Combine like terms: 180 + -40 = 140 5n = 140 Divide each side by '5'. n = 28 Simplifying n = 28
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