0.25(8z-4)=z+8-22

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Solution for 0.25(8z-4)=z+8-22 equation:


Simplifying
0.25(8z + -4) = z + 8 + -22

Reorder the terms:
0.25(-4 + 8z) = z + 8 + -22
(-4 * 0.25 + 8z * 0.25) = z + 8 + -22
(-1 + 2z) = z + 8 + -22

Reorder the terms:
-1 + 2z = 8 + -22 + z

Combine like terms: 8 + -22 = -14
-1 + 2z = -14 + z

Solving
-1 + 2z = -14 + 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 = -14 + z + -1z

Combine like terms: 2z + -1z = 1z
-1 + 1z = -14 + z + -1z

Combine like terms: z + -1z = 0
-1 + 1z = -14 + 0
-1 + 1z = -14

Add '1' to each side of the equation.
-1 + 1 + 1z = -14 + 1

Combine like terms: -1 + 1 = 0
0 + 1z = -14 + 1
1z = -14 + 1

Combine like terms: -14 + 1 = -13
1z = -13

Divide each side by '1'.
z = -13

Simplifying
z = -13

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