Question

Question
Simplify 6(3q−4)+18−12q−7(4q+5)

Answer 1

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

1. Distribute the terms:
\[
6(3q) - 6(4) + 18 - 12q - 7(4q) - 7(5)
\]
Which gives:
\[
18q - 24 + 18 - 12q - 28q - 35
\]

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

3. Put it all together:
\[
-22q - 41
\]

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