(-83)z-71=z-91

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Solution for (-83)z-71=z-91 equation:


Simplifying
(-83) * z + -71 = z + -91

Reorder the terms:
-71 + -83z = z + -91

Reorder the terms:
-71 + -83z = -91 + z

Solving
-71 + -83z = -91 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-71 + -83z + -1z = -91 + z + -1z

Combine like terms: -83z + -1z = -84z
-71 + -84z = -91 + z + -1z

Combine like terms: z + -1z = 0
-71 + -84z = -91 + 0
-71 + -84z = -91

Add '71' to each side of the equation.
-71 + 71 + -84z = -91 + 71

Combine like terms: -71 + 71 = 0
0 + -84z = -91 + 71
-84z = -91 + 71

Combine like terms: -91 + 71 = -20
-84z = -20

Divide each side by '-84'.
z = 0.2380952381

Simplifying
z = 0.2380952381

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