Respuesta :
Answer:
[tex]\large\boxed{k=\dfrac{m}{7}}[/tex]
Step-by-step explanation:
[tex]8k+2m=3m+k\qquad\text{subtract}\ 2m\ \texy{from both sides}\\\\8k+2m-2m=3m-2m+k\\\\8k=m+k\qquad\text{subtract}\ k\ \text{from both sides}\\\\8k-k=m+k-k\\\\7k=m\qquad\text{divide both sides by 7}\\\\\dfrac{7k}{7}=\dfrac{m}{7}\\\\k=\dfrac{m}{7}[/tex]