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(9-2i)=(-4+7i)
We move all terms to the left:
(9-2i)-((-4+7i))=0
We add all the numbers together, and all the variables
(-2i+9)-((7i-4))=0
We get rid of parentheses
-2i-((7i-4))+9=0
We calculate terms in parentheses: -((7i-4)), so:We get rid of parentheses
(7i-4)
We get rid of parentheses
7i-4
Back to the equation:
-(7i-4)
-2i-7i+4+9=0
We add all the numbers together, and all the variables
-9i+13=0
We move all terms containing i to the left, all other terms to the right
-9i=-13
i=-13/-9
i=1+4/9
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