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1+0.1(z^-1)-0.72(z^-2)=0
We multiply parentheses
0.1z-0.72z-0.1+1.44+1=0
We add all the numbers together, and all the variables
-0.62z+2.34=0
We move all terms containing z to the left, all other terms to the right
-0.62z=-2.34
z=-2.34/-0.62
z=3+0.48/0.62
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