z-0.5=0.25z-0.125

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Solution for z-0.5=0.25z-0.125 equation: 


Simplifying
z + -0.5 = 0.25z + -0.125

Reorder the terms:
-0.5 + z = 0.25z + -0.125

Reorder the terms:
-0.5 + z = -0.125 + 0.25z

Solving
-0.5 + z = -0.125 + 0.25z

Solving for variable 'z'.

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

Add '-0.25z' to each side of the equation.
-0.5 + z + -0.25z = -0.125 + 0.25z + -0.25z

Combine like terms: z + -0.25z = 0.75z
-0.5 + 0.75z = -0.125 + 0.25z + -0.25z

Combine like terms: 0.25z + -0.25z = 0.00
-0.5 + 0.75z = -0.125 + 0.00
-0.5 + 0.75z = -0.125

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.75z = -0.125 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.75z = -0.125 + 0.5
0.75z = -0.125 + 0.5

Combine like terms: -0.125 + 0.5 = 0.375
0.75z = 0.375

Divide each side by '0.75'.
z = 0.5

Simplifying
z = 0.5

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