Solve:
[tex]4k+5=3(4k-14)+71[/tex]open the bracket,
[tex]4k+5=12k-42+71[/tex]collect like terms,
[tex]4k-12k=-42+71-5[/tex]simplify,
[tex]\begin{gathered} -8k=24 \\ \text{ divide through by -8} \\ \frac{-8k}{-8}=\frac{24}{-8} \\ k=-3 \end{gathered}[/tex]Therefore, k = -3