z=0.25z^-1+0.5z^-2+0.75z^-3

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Solution for z=0.25z^-1+0.5z^-2+0.75z^-3 equation: 



z=0.25z^-1+0.5z^-2+0.75z^-3

We move all terms to the left:

z-(0.25z^-1+0.5z^-2+0.75z^-3)=0

We get rid of parentheses

z-0.25z^-0.5z^-0.75z^+1+2+3=0

We add all the numbers together, and all the variables

-0.5z+6=0

We move all terms containing z to the left, all other terms to the right

-0.5z=-6

z=-6/-0.5

z=+12

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