Let's solve the problem step-by-step:
1. Identify and Combine Like Terms:
We need to add the expressions [tex]\( (7r + 2) \)[/tex] and [tex]\( (3r + 9) \)[/tex].
2. Group the 'r' terms together:
From [tex]\( (7r + 2) \)[/tex], we have [tex]\( 7r \)[/tex].
From [tex]\( (3r + 9) \)[/tex], we have [tex]\( 3r \)[/tex].
Adding these together:
[tex]\[
7r + 3r = 10r
\][/tex]
3. Group the constant terms together:
From [tex]\( (7r + 2) \)[/tex], we have [tex]\( 2 \)[/tex].
From [tex]\( (3r + 9) \)[/tex], we have [tex]\( 9 \)[/tex].
Adding these together:
[tex]\[
2 + 9 = 11
\][/tex]
4. Combine the results:
So, combining all the like terms, we get:
[tex]\[
10r + 11
\][/tex]
Therefore, the result of adding the expressions [tex]\( (7r + 2) \)[/tex] and [tex]\( (3r + 9) \)[/tex] is:
[tex]\[
10r + 11
\][/tex]
