Question

Need help breaking this down step by step

Distribute and combine

1/2(n-8)+7-n

Answer 1

`3-(1)/(2)n`

Explanation:

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

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

The expression is:

`(1)/(2)(n-8)+7-n`

Let's distribute:

`(1)/(2)(n-8)+7-n\\=(1)/(2)(n)-(1)/(2)(8)+7-n`

Now, we multiply:

`(1)/(2)(n)-(1)/(2)(8)+7-n\\=(1)/(2)n-4+7-n`

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

`(1)/(2)n-4+7-n\\=-4+7-n+(1)/(2)n\\=3-(1)/(2)n`

This is the simplified expression.