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1/2=9z+3/2z-5
We move all terms to the left:
1/2-(9z+3/2z-5)=0
Domain of the equation: 2z-5)!=0We get rid of parentheses
z∈R
-9z-3/2z+5+1/2=0
We calculate fractions
-9z+5=0
We move all terms containing z to the left, all other terms to the right
-9z=-5
z=-5/-9
z=5/9
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