Question

Rewrite in simplest terms: minus, left parenthesis, minus, 9, q, plus, 3, r, right parenthesis, plus, 6, r, minus, 2, left parenthesis, minus, 4, r, plus, 9, q, right parenthesis−(−9q+3r)+6r−2(−4r+9q)

Answer 1

Let's simplify the expression step by step:

The original expression is:
\[
-( -9q + 3r ) + 6r - 2( -4r + 9q )
\]

1. Distribute the negative sign:
\[
9q - 3r + 6r - 2( -4r + 9q )
\]

2. Distribute the -2:
\[
9q - 3r + 6r + 8r - 18q
\]

3. Now combine like terms:
- For \(q\): \(9q - 18q = -9q\)
- For \(r\): \(-3r + 6r + 8r = 11r\)

Putting it all together, we get:
\[
-9q + 11r
\]

So, the simplified expression is:
\[
11r - 9q
\]