Given:
[tex]7(-2k+4)-6=7k-20[/tex]
Required:
To find the value of k.
Explanation:
Consider
[tex]\begin{gathered} 7(-2k+4)-6=7k-20 \\ \\ -14k+28-6=7k-20 \\ \\ -14k+22=7k-20 \end{gathered}[/tex]
Subtract 22, we get
[tex]\begin{gathered} -14k+22-22=7k-20-22 \\ \\ -14k=7k-42 \end{gathered}[/tex]
Subtract 7k, we get
[tex]\begin{gathered} -14k-7k=7k-7k-42 \\ \\ -21k=-42 \\ \\ k=\frac{-42}{-21} \\ \\ k=2 \end{gathered}[/tex]
Final Answer:
[tex]k=2[/tex]
