Steps to solve:
-4z + 1 = bz + c
~Subtract bz to both sides
−4z + 1 - bz = bz + c - bz
~Simplify
-bz - 4z + 1 = c
~Subtract 1 to both sides
-bz - 4z + 1 - 1 = c - 1
~Simplify
-bz - 4z = c - 1
~Factor out "z"
z(-b - 4) = c - 1
~Divide (-b - 4) to both sides
[tex]\frac{z(-b - 4)}{-b - 4} = \frac{c-1}{-b-4}[/tex]
~Simplify
Answer → [tex]\frac{-c+1}{b+4}[/tex]
Best of Luck!
