Answer
$k=-\frac{1}{9}$
Work Step by Step
$k+\frac{2}{3}=\frac{5}{9}$ subtract $\frac{2}{3}$ from both sides
$k+\frac{2}{3}-\frac{2}{3}=\frac{5}{9}-\frac{2}{3}$ simplify, creating a common denominator
$k=\frac{5}{9}-\frac{6}{9}$ simplify
$k=-\frac{1}{9}$