Please solve the following equation.

Question

-p(d+z) = -2z + 59

Solve the above equation for the variable z.

Answer 1

So we need to isolate z. Let's start by distributing that -p:

-pd - pz = -2z + 59

Subtract 59 from both sides:

-pd - pz - 59 = -2z

Add pz to both sides:

-pd - 59 = pz - 2z

Factor out z:

-pd - 59 = z(p - 2)

Divide both sides by p - 2:

^{-pd - 59}/_{p - 2} = z

While that works, some people might not like how the numerator has everything negative. You can factor out a -1 from it to give you the following possibility:

- ^{pd + 59}/_{p - 2} = z

Answer 2

-pd - pz =-2z + 59

(2-p)z=59+pd

z=(59+pd)/(2-p)