z=80+0.4(x-(50+0.2x)+75)+50+75

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Solution for z=80+0.4(x-(50+0.2x)+75)+50+75 equation: 


Simplifying
z = 80 + 0.4(x + -1(50 + 0.2x) + 75) + 50 + 75
z = 80 + 0.4(x + (50 * -1 + 0.2x * -1) + 75) + 50 + 75
z = 80 + 0.4(x + (-50 + -0.2x) + 75) + 50 + 75

Reorder the terms:
z = 80 + 0.4(-50 + 75 + x + -0.2x) + 50 + 75

Combine like terms: -50 + 75 = 25
z = 80 + 0.4(25 + x + -0.2x) + 50 + 75

Combine like terms: x + -0.2x = 0.8x
z = 80 + 0.4(25 + 0.8x) + 50 + 75
z = 80 + (25 * 0.4 + 0.8x * 0.4) + 50 + 75
z = 80 + (10 + 0.32x) + 50 + 75

Reorder the terms:
z = 80 + 10 + 50 + 75 + 0.32x

Combine like terms: 80 + 10 = 90
z = 90 + 50 + 75 + 0.32x

Combine like terms: 90 + 50 = 140
z = 140 + 75 + 0.32x

Combine like terms: 140 + 75 = 215
z = 215 + 0.32x

Solving
z = 215 + 0.32x

Solving for variable 'z'.

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

Simplifying
z = 215 + 0.32x

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