Answer
$b=\frac{A-5BH}{5H}$
Work Step by Step
We are given that $A=5H(b+B)$. We can use the distributive property to simplify the right side.
$A=5H\times(b+B)=5bH+5BH$
Subtract 5BH from both sides.
$A-5BH=5bH$
Divide both sides by 5H.
$b=\frac{A-5BH}{5H}$