0.4(z-1)=-0.4(z-0.5)

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Solution for 0.4(z-1)=-0.4(z-0.5) equation: 


Simplifying
0.4(z + -1) = -0.4(z + -0.5)

Reorder the terms:
0.4(-1 + z) = -0.4(z + -0.5)
(-1 * 0.4 + z * 0.4) = -0.4(z + -0.5)
(-0.4 + 0.4z) = -0.4(z + -0.5)

Reorder the terms:
-0.4 + 0.4z = -0.4(-0.5 + z)
-0.4 + 0.4z = (-0.5 * -0.4 + z * -0.4)
-0.4 + 0.4z = (0.2 + -0.4z)

Solving
-0.4 + 0.4z = 0.2 + -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.
-0.4 + 0.4z + 0.4z = 0.2 + -0.4z + 0.4z

Combine like terms: 0.4z + 0.4z = 0.8z
-0.4 + 0.8z = 0.2 + -0.4z + 0.4z

Combine like terms: -0.4z + 0.4z = 0.0
-0.4 + 0.8z = 0.2 + 0.0
-0.4 + 0.8z = 0.2

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.8z = 0.2 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.8z = 0.2 + 0.4
0.8z = 0.2 + 0.4

Combine like terms: 0.2 + 0.4 = 0.6
0.8z = 0.6

Divide each side by '0.8'.
z = 0.75

Simplifying
z = 0.75

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