[latex] frac{1}{3}z=- frac{5}{6}+ frac{1}{6}z |*6 \ \ 2z = -5 + z\ \ 2z-z=-5 \ \ z=-5 [/latex]

First, one would change 1/3 into 2/6. 2/6z=-5/6+1/6z Next, one would bring the 1/6z over to the other side. 1/6z=-5/6 Next, one would divide -5/6 by 1/6. z=-30/6 Lastly, one would reduce -30/6 to -5. Thus, z=-5