Question

Simplify 9+3(4a−7)−5a+6
(1 point)
Responses

43a+78
43 a plus 78

43a−78
43 a minus 78

7a−6
7 a minus 6

7a+6

Answer 1

Let's simplify the expression step by step:

Given expression:

\[ 9 + 3(4a - 7) - 5a + 6 \]

1. Distribute the \(3\) into the parentheses:

\[
3(4a) - 3(7) = 12a - 21
\]

2. Now substitute back into the expression:

\[
9 + (12a - 21) - 5a + 6
\]

3. Combine like terms. Start with the constant terms:

\[
9 - 21 + 6 = -6
\]

4. Now combine the terms with \(a\):

\[
12a - 5a = 7a
\]

5. Putting it all together, we get:

\[
7a - 6
\]

So the simplified expression is \(7a - 6\).

The correct response is:

**7a−6**.