Simplify 2a − 4b +7 + 8a + 6b − 2 .(1 point) Responses −2ab + 14ab + 5 negative 2 a b plus 14 a b plus 5 10a + 2b +5 10 a plus 2 b plus 5 10a − 2b +5 10 a minus 2 b plus 5 12ab + 5

1 answer

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

  1. Combine the \( a \) terms: \[ 2a + 8a = 10a \]

  2. Combine the \( b \) terms: \[ -4b + 6b = 2b \]

  3. Combine the constant terms: \[ 7 - 2 = 5 \]

Now, putting it all together: \[ 10a + 2b + 5 \]

So the simplified expression is: \[ 10a + 2b + 5 \]

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