Simplify 9+3(4a−7)−5a+6

Question

(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