Question

Need help breaking this down step by step Distribute and combine 1/2(n-8)+7-n

Answer 1

Answer:

$3-\frac{1}{2}n$

Step-by-step explanation:

We will use the distributive property shown below to break it down first.

Distributive Property:  $a(b-c)=ab-ac$

The expression is:

$\frac{1}{2}(n-8)+7-n$

Let's distribute:

$\frac{1}{2}(n-8)+7-n\\=\frac{1}{2}(n)-\frac{1}{2}(8)+7-n$

Now, we multiply:

$\frac{1}{2}(n)-\frac{1}{2}(8)+7-n\\=\frac{1}{2}n-4+7-n$

Now we combine like terms (variables and numbers separately):

$\frac{1}{2}n-4+7-n\\=-4+7-n+\frac{1}{2}n\\=3-\frac{1}{2}n$

This is the simplified expression.