Question

implify 6(3q−4)+18−12q−7(4q+5)
.(1 point)

Answer 1

To simplify the expression \( 6(3q - 4) + 18 - 12q - 7(4q + 5) \), let's follow these steps:

1. **Distribute** the constants in front of the parentheses:
\[
6(3q) - 6(4) + 18 - 12q - 7(4q) - 7(5)
\]
This gives us:
\[
18q - 24 + 18 - 12q - 28q - 35
\]

2. **Combine like terms**:
- For the \(q\) terms: \( 18q - 12q - 28q = (18 - 12 - 28)q = -22q \)
- For the constant terms: \( -24 + 18 - 35 = -24 - 17 = -41 \)

3. Finally, we combine the results:
\[
-22q - 41
\]

So, the simplified expression is:
\[
\boxed{-22q - 41}
\]