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 minus 2 b plus 5
12ab + 5
12 a b plus 5
10a + 2b +5
10a + 2b + 5
10a + 2b + 5
To simplify the expression 2a - 4b + 7 + 8a + 6b - 2, you need to combine like terms. Like terms are terms that have the same variable and exponent.
First, let's combine the terms with 'a'. We have 2a + 8a + 10a. Adding these terms together gives us 20a.
Next, let's combine the terms with 'b'. We have -4b + 6b - 2b. Adding these terms together gives us 0b, which is just 0.
Now, let's combine the constant terms. We have 7 - 2 + 0 + 5. Adding these terms gives us 10.
Overall, we have 20a + 0b + 10. Since any term multiplied by 0 is 0, we can simplify this further to 20a + 10, which can also be written as 10a + 2b + 5.