Simplify 9+3(4a−7)−5a+6

Question

(1 point)
Responses

43a−78
43 a minus 78

7a−6
7 a minus 6

7a+6
7 a plus 6

43a+78

Answer 1

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

1. Distribute the \(3\) to the terms inside the parentheses: \[ 3(4a) - 3(7) = 12a - 21 \]

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

3. Combine like terms:

   • The constant terms: \(9 - 21 + 6 = -6\)
   • The \(a\) terms: \(12a - 5a = 7a\)

4. Put it all together: \[ 7a - 6 \]

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

So the correct option is: 7a−6