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3/z+12=4/z-3
We move all terms to the left:
3/z+12-(4/z-3)=0
Domain of the equation: z!=0
z∈R
Domain of the equation: z-3)!=0We get rid of parentheses
z∈R
3/z-4/z+3+12=0
We multiply all the terms by the denominator
3*z+12*z+3-4=0
We add all the numbers together, and all the variables
15z-1=0
We move all terms containing z to the left, all other terms to the right
15z=1
z=1/15
z=1/15
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