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8/9i+12=2/9i+34
We move all terms to the left:
8/9i+12-(2/9i+34)=0
Domain of the equation: 9i!=0
i!=0/9
i!=0
i∈R
Domain of the equation: 9i+34)!=0We get rid of parentheses
i∈R
8/9i-2/9i-34+12=0
We multiply all the terms by the denominator
-34*9i+12*9i+8-2=0
We add all the numbers together, and all the variables
-34*9i+12*9i+6=0
Wy multiply elements
-306i+108i+6=0
We add all the numbers together, and all the variables
-198i+6=0
We move all terms containing i to the left, all other terms to the right
-198i=-6
i=-6/-198
i=1/33
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