Let's simplify the expression step by step:
Given expression:
\[ 9 + 3(4a - 7) - 5a + 6 \]
- Distribute the \(3\) into the parentheses:
\[ 3(4a) - 3(7) = 12a - 21 \]
- Now substitute back into the expression:
\[ 9 + (12a - 21) - 5a + 6 \]
- Combine like terms. Start with the constant terms:
\[ 9 - 21 + 6 = -6 \]
- Now combine the terms with \(a\):
\[ 12a - 5a = 7a \]
- Putting it all together, we get:
\[ 7a - 6 \]
So the simplified expression is \(7a - 6\).
The correct response is:
7a−6.