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Simplifying (3n + 23) + (5n + 29) = 180 Reorder the terms: (23 + 3n) + (5n + 29) = 180 Remove parenthesis around (23 + 3n) 23 + 3n + (5n + 29) = 180 Reorder the terms: 23 + 3n + (29 + 5n) = 180 Remove parenthesis around (29 + 5n) 23 + 3n + 29 + 5n = 180 Reorder the terms: 23 + 29 + 3n + 5n = 180 Combine like terms: 23 + 29 = 52 52 + 3n + 5n = 180 Combine like terms: 3n + 5n = 8n 52 + 8n = 180 Solving 52 + 8n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 8n = 180 + -52 Combine like terms: 52 + -52 = 0 0 + 8n = 180 + -52 8n = 180 + -52 Combine like terms: 180 + -52 = 128 8n = 128 Divide each side by '8'. n = 16 Simplifying n = 16
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