z-0.8z-0.25=0.4(z-0.875)

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Solution for z-0.8z-0.25=0.4(z-0.875) equation: 


Simplifying
z + -0.8z + -0.25 = 0.4(z + -0.875)

Reorder the terms:
-0.25 + z + -0.8z = 0.4(z + -0.875)

Combine like terms: z + -0.8z = 0.2z
-0.25 + 0.2z = 0.4(z + -0.875)

Reorder the terms:
-0.25 + 0.2z = 0.4(-0.875 + z)
-0.25 + 0.2z = (-0.875 * 0.4 + z * 0.4)
-0.25 + 0.2z = (-0.35 + 0.4z)

Solving
-0.25 + 0.2z = -0.35 + 0.4z

Solving for variable 'z'.

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

Add '-0.4z' to each side of the equation.
-0.25 + 0.2z + -0.4z = -0.35 + 0.4z + -0.4z

Combine like terms: 0.2z + -0.4z = -0.2z
-0.25 + -0.2z = -0.35 + 0.4z + -0.4z

Combine like terms: 0.4z + -0.4z = 0.0
-0.25 + -0.2z = -0.35 + 0.0
-0.25 + -0.2z = -0.35

Add '0.25' to each side of the equation.
-0.25 + 0.25 + -0.2z = -0.35 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.2z = -0.35 + 0.25
-0.2z = -0.35 + 0.25

Combine like terms: -0.35 + 0.25 = -0.1
-0.2z = -0.1

Divide each side by '-0.2'.
z = 0.5

Simplifying
z = 0.5

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