Verified answer

h = ( 1 + 2a ) / a

Rewrite as

h / 1 = ( 1 + 2a ) / a

Cross-multiply

a * h = 1 * ( 1 + 2a ) 

simplify

a * h = 1 * ( 1 + 2a ) 

ah = 1 + 2a 

put like-terms on side of the equation

ah - 2a = 1

factor out ‘a’

a( h - 2 ) = 1

divide both sides of the equation by ( h - 2 )

a( h - 2 )/( h - 2 ) = 1/( h - 2 )

∴

a = 1/( h - 2 )

multiply both sides by ' a ' , get all terms involving together , factor out the ' a ' , then divide by that coefficient of ' a '.................{ 1 / [ h - 2 ] }

As written , a <> 0.

Now, multiply by a each side to get

ah = 1+2a. Now subtract 2a each side to get

a-2ah = 1. Factor out a to get

a(1-2h) = 1. Dow divide each side by 1-2h. What do you get? Done.

isolate a such that it reads a = blah blah blah.