To simplify the expression \( 3.5(7n - 12) + 11n - 12.5 \), we will follow the order of operations:
Distribute \( 3.5 \) into \( (7n - 12) \): \[ 3.5 \cdot 7n - 3.5 \cdot 12 = 24.5n - 42 \]
Write the expression with the distributed part: \[ 24.5n - 42 + 11n - 12.5 \]
Combine like terms:
- Combine the \( n \) terms: \[ 24.5n + 11n = 35.5n \]
- Combine the constant terms: \[ -42 - 12.5 = -54.5 \]
Thus, the simplified expression is: \[ 35.5n - 54.5 \]
So, the final result is: \[ 35.5n - 54.5 \]