I am having trouble figuring this out.

ADD
(r - 6s + 3) + (7r + 5s) + (s+5)

Clear the parentheses.

r-6s+3+7r+5s+s+5=??
combine like terms.

I rewrite it according to terms.

r+7r= 8r which is like saying 1+7=8 (then add back the variable)
Same applies to the following:

-6s+5s+s=0 which is like saying -6+5+1=0

3+0+5= 8

So you would end up with: 8r+8

To solve this addition problem, you need to combine like terms. Like terms are terms that have the same variables raised to the same powers.

Let's break down the given expression step by step:

Expression:
(r - 6s + 3) + (7r + 5s) + (s + 5)

First, we can remove the parentheses while keeping the sign in front of each term unchanged:

r - 6s + 3 + 7r + 5s + s + 5

Next, we group the like terms together:

( r + 7r ) + ( -6s + 5s + s ) + ( 3 + 5 )

Adding the like terms in each group:

8r - s + 8

Therefore, the simplified expression is:

8r - s + 8