If it's not what You are looking for type in the equation solver your own equation and let us solve it.
k in (-oo:+oo)
(-1/3)*k+1 = k+2/9 // - k+2/9
(-1/3)*k-k-(2/9)+1 = 0
(-1/3)*k-k-2/9+1 = 0
7/9-4/3*k = 0 // - 7/9
-4/3*k = -7/9 // : -4/3
k = -7/9/(-4/3)
k = 7/12
k = 7/12
| 1/5n+3/5=399/5-7n | | 10+6/7x=1/2x+285/28 | | t+10=-t+10 | | 2/7x+2/3=-4x-37/12 | | 2/3+6a=5/7a-1207/21 | | -1/7+d=3/4d+20/7 | | 3/4m-1=-5m+111/4 | | 4/5w-2/9=119/720-3/4w | | -6m+5=9/5+2/5m | | 4/7m+3=4/5m+9/35 | | -7/10+1/2d=-1/2d+43/10 | | b+1/2=-10-3/4b | | 2/3m-1=5/6+1/2m | | 6d+5/8=-97/24+2/3d | | 10-5/6m=6m+265/6 | | -1/2m-1/9=-2m+49/45 | | 6w-10=-61/7-3/7w | | 1/7m+1/4=6m-163/4 | | 1-3d=2/3d+21/10 | | -1/2-1/2a=-7a+45 | | 4/7t+3=9/35+4t | | -3/5t+5=-59/5-2t | | -6d+4=5/7d-10/21 | | 6/7a-4=7a-241/28 | | -2/3x+1/2=-7/6-x | | 4+4/7t=-t+160/7 | | 6m-7/9=347/63-2/7m | | 3/7+4k=-k-26/21 | | 8-5/6w=-1/3w+14 | | -t+3=5/7t-51/7 | | -2/5t+2/3=778/15+6t | | -1/2-4/5k=k+49/10 |