Chapter 9 - Basic Algebra - 9.6 Solving Equations - 9.6 Exercises - Page 671: 31

$k=\frac{5}{2}$

We are given the equation $\frac{1}{2}=k-2$. Add 2 to both sides. $\frac{1}{2}+2=k-2+2$ $\frac{1}{2}+2=\frac{1}{2}+\frac{4}{2}=\frac{1+4}{2}=\frac{5}{2}=k+0$ $\frac{5}{2}=k+0$ Therefore, $k=\frac{5}{2}$.