2^n + 4 - 2 ( 2^n )2 ( 2^n + 3 ) when simplified is = ?

Answer: Option D

$$\begin{array}{rl}& \frac{2^{n+4}-2\left(2^n\right)}{2\left(2^{n+3}\right)}\\ & =\frac{2^{n+4}-2^{n+1}}{2^{n+4}}\\ & =\frac{2^{n+4}}{2^{n+4}}-\frac{2^{n+1}}{2^{n+4}}\\ & =1-2^{(n+1)-\left(n+4\right)}\\ & \text{ = 1}-2^{-3}\\ & \text{ = 1}-\frac{1}{8}\\ & \text{ = }\frac{7}{8}\end{array}$$