k/4+6=-2

(4).k/4+6=-2.(4)
k+6=-8
-6 -6
answer k=-14

describe the error that was made when solving for k

It appears that there was an error in the first step of solving for k. Instead of multiplying both sides of the equation by 4, (4). was mistakenly included before k/4. The correct step should be to multiply both sides of the equation by 4. The error resulted in an incorrect value for k.