Answer:
12b - 7a + 8
Explanation:
The circling is correct.
Like terms are terms with the same variable part.
10b + 3 - 6a + 2b - a + 5
The terms 10b and 2b have b as the variable part. They are like terms.
The terms 3 and 5 have no variable part. They are like terms.
The terms -6a and -a have "a" as the variable part. They are like terms.
There are 3 types of like terms: terms with variable "a"; terms with variable "b"; terms with no variable.
10b + 3 - 6a + 2b - a + 5 =
To combine like terms, we add the coefficients of the like terms. The coefficient of a term is the number. If a term has no coefficient written, such as "b", then the coefficient is 1 as if it were written as 1b. In the case of -a, the coefficient is -1.
= 10b + 2b - 6a - a + 3 + 5
= 12b - 7a + 8
Answer: 12b - 7a + 8