-12(k+4)=60
\(-12\times(k+4)=60\)
\(-12k-48 =60\) \([ \ +48\)
\(-12k =12\) \([ \ /-12\)
\({\color{blue}k=-1}\) !
I found a slight error in your answer.
When you added 48, It should be 108 instead of 12.
So the answer should be k=-9 instead of k=-1.