Question

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

Answer 1

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

1. Distribute the terms:
\[
6(3q - 4) = 18q - 24
\]
\[
-7(4q + 5) = -28q - 35
\]

2. Substitute these results back into the expression:
\[
18q - 24 + 18 - 12q - 28q - 35
\]

3. Combine like terms. First, combine the \( q \) terms:
\[
18q - 12q - 28q = (18 - 12 - 28)q = -22q
\]

4. Then combine the constant terms:
\[
-24 + 18 - 35 = -24 + 18 - 35 = -6 - 35 = -41
\]

5. Putting it all together, the simplified expression is:
\[
-22q - 41
\]

Thus, the simplified expression is:

\[
\boxed{-22q - 41}
\]