Simplify 2a − 4b +7 + 8a + 6b − 2 .(1 point)

Question

Responses

10a − 2b +5
10 a minus 2 b plus 5

−2ab + 14ab + 5
negative 2 a b plus 14 a b plus 5

10a + 2b +5
10 a plus 2 b plus 5

12ab + 5

Answer 1

To simplify the expression \( 2a - 4b + 7 + 8a + 6b - 2 \), we combine like terms.

1. Combine the \( a \) terms:

   • \( 2a + 8a = 10a \)

2. Combine the \( b \) terms:

   • \( -4b + 6b = 2b \)

3. Combine the constant terms:

   • \( 7 - 2 = 5 \)

Putting it all together, we get: \[ 10a + 2b + 5 \]

So, the simplified expression is \( 10a + 2b + 5 \).

The correct response is: 10a + 2b + 5