Simplify 2a − 4b +7 + 8a + 6b − 2

Question

.(1 point)
Responses

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

12ab + 5
12 a b plus 5

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

10a − 2b +5

Answer 1

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

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

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

3. Combine the constant terms: \(7 - 2 = 5\)

Putting it all together, the simplified expression is: \[ 10a + 2b + 5 \]

So the correct response is: 10a + 2b + 5.