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a\cos(B)=5-bc
Subtract bc from both sides.
\cos(B)a=5-bc
The equation is in standard form.
\frac{\cos(B)a}{\cos(B)}=\frac{5-bc}{\cos(B)}
Divide both sides by \cos(B).
a=\frac{5-bc}{\cos(B)}
Dividing by \cos(B) undoes the multiplication by \cos(B).