0.25(8z-4)=z+82z

Solution for 0.25(8z-4)=z+82z equation:

Simplifying
0.25(8z + -4) = z + 82z

Reorder the terms:
0.25(-4 + 8z) = z + 82z
(-4 * 0.25 + 8z * 0.25) = z + 82z
(-1 + 2z) = z + 82z

Combine like terms: z + 82z = 83z
-1 + 2z = 83z

Solving
-1 + 2z = 83z

Solving for variable 'z'.

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

Add '-83z' to each side of the equation.
-1 + 2z + -83z = 83z + -83z

Combine like terms: 2z + -83z = -81z
-1 + -81z = 83z + -83z

Combine like terms: 83z + -83z = 0
-1 + -81z = 0

Add '1' to each side of the equation.
-1 + 1 + -81z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -81z = 0 + 1
-81z = 0 + 1

Combine like terms: 0 + 1 = 1
-81z = 1

Divide each side by '-81'.
z = -0.01234567901

Simplifying
z = -0.01234567901