Answer:
[tex]\large\boxed{k=-10\ or\ k=\dfrac{33}{4}}[/tex]
Step-by-step explanation:
[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Example of an quation with absolute value:}\\\\|a|=2\iff a=2\ \vee\ a=-2\\============================[/tex]
[tex]|-7-8k|=73\iff-7-8k=73\ \vee\ -7-8k=-73\\\\\text{add 7 to both sides}\\\\-7+7-8k=73+7\ \vee\ -7+7-8k=-73+7\\\\-8k=80\ \vee\ -8k=-66\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8k}{-8}=\dfrac{80}{-8}\ \vee\ \dfrac{-8k}{-8}=\dfrac{-66}{-8}\\\\k=-10\ \vee\ k=\dfrac{33}{4}[/tex]
