z(c-1)-7=1

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Solution for z(c-1)-7=1 equation: 


Simplifying
z(c + -1) + -7 = 1

Reorder the terms:
z(-1 + c) + -7 = 1
(-1 * z + c * z) + -7 = 1

Reorder the terms:
(cz + -1z) + -7 = 1
(cz + -1z) + -7 = 1

Reorder the terms:
-7 + cz + -1z = 1

Solving
-7 + cz + -1z = 1

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + cz + 7 + -1z = 1 + 7

Reorder the terms:
-7 + 7 + cz + -1z = 1 + 7

Combine like terms: -7 + 7 = 0
0 + cz + -1z = 1 + 7
cz + -1z = 1 + 7

Combine like terms: 1 + 7 = 8
cz + -1z = 8

Add 'z' to each side of the equation.
cz + -1z + z = 8 + z

Combine like terms: -1z + z = 0
cz + 0 = 8 + z
cz = 8 + z

Divide each side by 'z'.
c = 8z-1 + 1

Simplifying
c = 8z-1 + 1

Reorder the terms:
c = 1 + 8z-1

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