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

Question

Responses

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

10a − 2b +5
10 a minus 2 b plus 5

12ab + 5
12 a b plus 5

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

Answer 1

Let's simplify the expression \( 2a - 4b + 7 + 8a + 6b - 2 \).

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

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

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

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

Therefore, the simplified expression is \( \boxed{10a + 2b + 5} \).