The given equation is
[tex]-8=\frac{k-4}{-6}[/tex]→ At first, multiply both sides by - 6 to cancel the denominator on the right side
[tex]\begin{gathered} \because-8\times-6=\frac{(k-4)}{-6}\times-6 \\ \therefore48=k-4 \end{gathered}[/tex]→ Now add 4 to both sides to move (-4) from the right side to the left side
[tex]\begin{gathered} \because48+4=k-4+4 \\ \therefore52=k+0 \\ \therefore52=k \end{gathered}[/tex]The value of k is 52
