How to cancel the same term on both sides of equation in Maple?

Question

I tried using "simplify" but it doesn't work. For example:

simplify(a*b=b*c) assuming b>0

will not get a=c but return the original equation.

or even

simplify(a*b/b) assuming b>0

will not get a directly but return the original equation.

Could anyone help on this please? Thanks.

Answer 1

map(x -> x/b, a*b=b*c);

                         a = c