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0.2(z+1)-0.5z=-0.1z+0.4-0.2z-0.2
We move all terms to the left:
0.2(z+1)-0.5z-(-0.1z+0.4-0.2z-0.2)=0
We add all the numbers together, and all the variables
0.2(z+1)-0.5z-(-0.3z+0.2)=0
We add all the numbers together, and all the variables
-0.5z+0.2(z+1)-(-0.3z+0.2)=0
We multiply parentheses
-0.5z+0.2z-(-0.3z+0.2)+0.2=0
We get rid of parentheses
-0.5z+0.2z+0.3z-0.2+0.2=0
We add all the numbers together, and all the variables
=0
z=0/1
z=0
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