0.25(8z-4)=z+8-2

Solution for 0.25(8z-4)=z+8-2 equation:

Simplifying
0.25(8z + -4) = z + 8 + -2

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

Reorder the terms:
-1 + 2z = 8 + -2 + z

Combine like terms: 8 + -2 = 6
-1 + 2z = 6 + z

Solving
-1 + 2z = 6 + 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.
-1 + 2z + -1z = 6 + z + -1z

Combine like terms: 2z + -1z = 1z
-1 + 1z = 6 + z + -1z

Combine like terms: z + -1z = 0
-1 + 1z = 6 + 0
-1 + 1z = 6

Add '1' to each side of the equation.
-1 + 1 + 1z = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 1z = 6 + 1
1z = 6 + 1

Combine like terms: 6 + 1 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7