Answer:
the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.
Explanation:
7/2h - 3(5h - 1/2)
3(5h - 1/2)
First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h + 1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :
7/2h - 15h + 3/2 or 7/2h - 15h + 3/2
Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.
7/2h - 15h
We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.
-23/2h
1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.