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Verified Answer :

iGreen

\(\sf\dfrac{2k-10}{-7}=8\)

Multiply -7 to both sides:

\(\sf2k-10=-56\) 

Add 10 to both sides:

\(\sf2k=-46\) 

Divide 2 to both sides:

\(\sf~k=-23\) 

\(\frac{2k-10}{-7}=8 \\ - \frac{2}{7}k- \frac{10}{7}=8 \\ - \frac{2}{7}k-1.43=8 \\ +1.43\ \ \ \ \ \ +1.43 \\ - \frac{2}{7}k=9.43 \\ * -\frac{7}{2}\ \ \ \ * -\frac{7}{2} \\ \boxed{k=-33.005}\)