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: \[ 11r - 9q \]