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

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


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

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

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

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

Solving
-1 + 2z = 8 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-1 + 2z + z = 8 + -1z + z

Combine like terms: 2z + z = 3z
-1 + 3z = 8 + -1z + z

Combine like terms: -1z + z = 0
-1 + 3z = 8 + 0
-1 + 3z = 8

Add '1' to each side of the equation.
-1 + 1 + 3z = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3z = 8 + 1
3z = 8 + 1

Combine like terms: 8 + 1 = 9
3z = 9

Divide each side by '3'.
z = 3

Simplifying
z = 3

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