Answer :

iGreen
[tex]\sf\dfrac{2k-10}{-7}=8[/tex]

Multiply -7 to both sides:

[tex]\sf2k-10=-56[/tex] 

Add 10 to both sides:

[tex]\sf2k=-46[/tex] 

Divide 2 to both sides:

[tex]\sf~k=-23[/tex] 
[tex] \frac{2k-10}{-7}=8 \\ - \frac{2}{7}k- \frac{10}{7}=8 \\ - \frac{2}{7}k-1.43=8 \\ +1.43\ \ \ \ \ \ +1.43 \\ - \frac{2}{7}k=9.43 \\ * -\frac{7}{2}\ \ \ \ * -\frac{7}{2} \\ \boxed{k=-33.005}[/tex]