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Citrus2011 [14]
2 years ago
8

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

Mathematics
1 answer:
blagie [28]2 years ago
3 0

Answer:

\large\boxed{z=\dfrac{1-c}{4+b}}

Step-by-step 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)\neq0\\\\z=\dfrac{1-c}{4+b}

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