Simplify 2a − 4b +7 + 8a + 6b − 2

Question

.(1 point)
Responses

12ab + 5
12 a b plus 5

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

Answer 1

To simplify the expression \(2a - 4b + 7 + 8a + 6b - 2\), we can 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 have: \[ 10a + 2b + 5 \]

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