Answer: A. 7
Step-by-step explanation:
The given equation : [tex]\dfrac{-1}{8}(2h+4)+\dfrac{1}{2}=\dfrac{-7}{4}[/tex]
Multiply 8 on both sides , we get
[tex]8\times\dfrac{-1}{8}(2h+4)+8\times\dfrac{1}{2}=8\times\dfrac{-7}{4}[/tex]
[tex]-(2h+4)+4=-14\\\\\Rightarrow\ -2h-4=-14-4\\\\\Rightarrow\ -2h=-18+4\\\\\Rightarrow\ -2h=-14\\\\\Rightarrow\ h=7[/tex]
Hence, the value of h= 7