Z=.5a-.5b(6-.2z)

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Solution for Z=.5a-.5b(6-.2z) equation: 


Simplifying
Z = 0.5a + -0.5b(6 + -0.2z)
Z = 0.5a + (6 * -0.5b + -0.2z * -0.5b)
Z = 0.5a + (-3b + 0.1bz)

Solving
Z = 0.5a + -3b + 0.1bz

Solving for variable 'Z'.

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

Simplifying
Z = 0.5a + -3b + 0.1bz

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