ANSWER
k = 7
EXPLANATION
The unknown variable in this equation is k,
[tex]8k-2k=42[/tex]To find its value, first, we have to combine like terms. This means that on the left side of the equation, we have to combine the coefficients of k,
[tex]\begin{gathered} (8-2)k=42 \\ \\ 6k=42 \end{gathered}[/tex]And then, divide both sides by 6,
[tex]\begin{gathered} \frac{6k}{6}=\frac{42}{6} \\ \\ k=7 \end{gathered}[/tex]Hence, the value of k is 7.