Question

Solve for z.
-4z+1 = bz+c

Answer 1

`\large\boxed{z=(1-c)/(4+b)}`

Explanation:

`-4z+1=bz+c\qquad\text{subtract 1 from both sides}\\\\-4z=bz+c-1\qquad\text{subtract}\ bz\ \text{from both sides}\\\\-4z-bz=c-1\qquad\text{change the signs}\\\\4z+bz=1-c\qquad\text{distribute}\\\\(4+b)z=1-c\qquad\text{divide both sides by}\ (4+b)\\eq0\\\\z=(1-c)/(4+b)`