Simplify 2a − 4b +7 + 8a + 6b − 2

.(1 point)
Responses

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

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

1 answer

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

First, we combine the \(a\) terms:

  • \(2a + 8a = 10a\)

Next, we combine the \(b\) terms:

  • \(-4b + 6b = 2b\)

Finally, we combine the constant terms:

  • \(7 - 2 = 5\)

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

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