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5-2/3z=1/3z+7
We move all terms to the left:
5-2/3z-(1/3z+7)=0
Domain of the equation: 3z!=0
z!=0/3
z!=0
z∈R
Domain of the equation: 3z+7)!=0We get rid of parentheses
z∈R
-2/3z-1/3z-7+5=0
We multiply all the terms by the denominator
-7*3z+5*3z-2-1=0
We add all the numbers together, and all the variables
-7*3z+5*3z-3=0
Wy multiply elements
-21z+15z-3=0
We add all the numbers together, and all the variables
-6z-3=0
We move all terms containing z to the left, all other terms to the right
-6z=3
z=3/-6
z=-1/2
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