step by step explanation, please

Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!