What is the sum of (-a+5c) + (-7a+2c+3)

-8a + 7c + 3

Step-by-step explanation:

To add expressions where many different variables are used, be sure to remember like terms. Like terms are terms which have the same variable bases and exponents. For instance a and b are different bases but ab and ab are the same. a^2b and ab^2 are different bases while a^2b^2 and a^2b^2 are the same. Both the variable and the exponents must be the same.

In this expression, there are 3 variables. None of them have exponents. SO a and a as well as b and b should be combined only with each other.

(-a+5c) + (-7a+2c+3)

-8a + 7c + 3