Homework help on subject change in equations. 10 points for the best answer

i have this equation i need to solve but i do not know how
this is the equation:
h = k/(2k +1)
i need to change the subject to k
if anybody know how to figure it out then please help me step by step. i usually am good at math but i still do not understand it - i am in year 8 but i am not sure if i am actually meant to know all this

(2k + 1)h = k


2kh + h - k = 0

2kh - k = - h

k(2h - 1) = h

k = h/(2h - 1)

h=k/(2k+1)
this is much easier than it looks. Its the fractione that makes it really scary.
h(2k+1)=k time both aides by 2k+1
2k+1=k/h divide both sides by h
k/(2k+1)=h moved top from right side to top of left
1/k+1=h simplified the fraction
k+1=1/h moved top of left fraction to right
k=(1/h)-1 take away two from both sides.