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2z+3/3z+1=2z-1/3z-2
We move all terms to the left:
2z+3/3z+1-(2z-1/3z-2)=0
Domain of the equation: 3z!=0
z!=0/3
z!=0
z∈R
Domain of the equation: 3z-2)!=0We get rid of parentheses
z∈R
2z+3/3z-2z+1/3z+2+1=0
We multiply all the terms by the denominator
2z*3z-2z*3z+2*3z+1*3z+3+1=0
We add all the numbers together, and all the variables
2z*3z-2z*3z+2*3z+1*3z+4=0
Wy multiply elements
6z^2-6z^2+6z+3z+4=0
We add all the numbers together, and all the variables
9z+4=0
We move all terms containing z to the left, all other terms to the right
9z=-4
z=-4/9
z=-4/9
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