[tex]\dfrac{k}{2}+1-1k=-2k\qquad\text{add 1k to both sides}\\\\\dfrac{k}{2}+1=-1k\qquad\text{multiply both sides by 2}\\\\\not2^1\cdot\dfrac{k}{\not2_1}+2\cdot1=2\cdot(-1k)\\\\k+2=-2k\qquad\text{subtract k from both sides}\\\\2=-3k\qquad\text{divide both sides by (-3)}\\\\\dfrac{2}{-3}=k\to k=-\dfrac{2}{3}[/tex]
