To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), we'll follow the order of operations:
- Distribute the terms:
- \( 6(3q - 4) = 18q - 24 \)
- \( -7(4q + 5) = -28q - 35 \)
Now we substitute these back into the expression:
\[ 18q - 24 + 18 - 12q - 28q - 35 \]
- Combine like terms:
- For the \( q \) terms: \( 18q - 12q - 28q = (18 - 12 - 28)q = -22q \)
- For the constant terms: \( -24 + 18 - 35 = -24 + 18 - 35 = -41 \)
Putting it all together, we get:
\[ -22q - 41 \]
Thus, the simplified expression is:
\[ \boxed{-22q - 41} \]