Solve for p, w = Q+P

Q-QP

Remove the extra parentheses.
w=q+p/q−qp

Since p is on the right-hand side of the equation switch the sides so it is on the left-hand side of the equation.
q+p/q−qp=w

Factor q out of q−qp. 
q+p/q⋅(1−1p)=w 

Rewrite −1p as −p. 
q+p/q⋅(1−p)=w 

Multiply q by 1−p to get q(1−p).
q+p/q(1−p)=w

Multiply each term in the equation by (1−p).
q+p/q(1−p)⋅(1−p)=w⋅(1−p) 

1+p/q=w−wp

Since −wp contains the variable to solve for, move it to the left-hand side of the equation by adding wp to both sides.
1+p/q+wp=w

Find the LCD of the terms in the equation.
It is q

Multiply each term in the equation by q in order to remove all the denominators from the equation.
p+wpq=−q+wq

Solve the equation.
p=q(w−1)/qw+1

p=q(w−1)/qw+1