Answer :
Answer:
[tex]3-\frac{1}{2}n[/tex]
Step-by-step explanation:
We will use the distributive property shown below to break it down first.
Distributive Property: [tex]a(b-c)=ab-ac[/tex]
The expression is:
[tex]\frac{1}{2}(n-8)+7-n[/tex]
Let's distribute:
[tex]\frac{1}{2}(n-8)+7-n\\=\frac{1}{2}(n)-\frac{1}{2}(8)+7-n[/tex]
Now, we multiply:
[tex]\frac{1}{2}(n)-\frac{1}{2}(8)+7-n\\=\frac{1}{2}n-4+7-n[/tex]
Now we combine like terms (variables and numbers separately):
[tex]\frac{1}{2}n-4+7-n\\=-4+7-n+\frac{1}{2}n\\=3-\frac{1}{2}n[/tex]
This is the simplified expression.