z-6z=8z-7-z

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Solution for z-6z=8z-7-z equation:


Simplifying
z + -6z = 8z + -7 + -1z

Combine like terms: z + -6z = -5z
-5z = 8z + -7 + -1z

Reorder the terms:
-5z = -7 + 8z + -1z

Combine like terms: 8z + -1z = 7z
-5z = -7 + 7z

Solving
-5z = -7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-5z + -7z = -7 + 7z + -7z

Combine like terms: -5z + -7z = -12z
-12z = -7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-12z = -7 + 0
-12z = -7

Divide each side by '-12'.
z = 0.5833333333

Simplifying
z = 0.5833333333

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