To simplify the expression 5 + 7 - (h - 8), we can start by simplifying the expression inside the parentheses.
Since we have h - 8 inside the parentheses, we need to distribute the negative sign to both terms inside the parentheses:
(-1) * h - (-1) * 8
- h + 8
Now we can substitute this simplified expression back into the original expression:
5 + 7 - (h - 8) becomes 5 + 7 - ( -h + 8)
Next, we can continue simplifying by removing the parentheses:
5 + 7 - (-h + 8) 5 + 7 + h - 8
Now, let's combine like terms:
(5 + 7 - 8) + h 4 + h
So, the simplified expression is 4 + h.
