Question

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

7a−6
7 a minus 6

7a+6
7 a plus 6

43a−78
43 a minus 78

43a+78

Answer 1

To simplify the expression \(9 + 3(4a - 7) - 5a + 6\), let's follow the steps:

1. Distribute \(3\) in the term \(3(4a - 7)\):
\[
3(4a) - 3(7) = 12a - 21
\]

2. Substitute back into the expression:
\[
9 + 12a - 21 - 5a + 6
\]

3. Combine the constants \(9 - 21 + 6\):
\[
9 - 21 = -12
\]
\[
-12 + 6 = -6
\]

4. Now combine the \(a\) terms \(12a - 5a\):
\[
12a - 5a = 7a
\]

5. Putting it all together, we get:
\[
7a - 6
\]

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

The correct response is:
**7a−6**