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0=(-4+6i)-(3-7i)
We move all terms to the left:
0-((-4+6i)-(3-7i))=0
We add all the numbers together, and all the variables
-((6i-4)-(-7i+3))+0=0
We add all the numbers together, and all the variables
-((6i-4)-(-7i+3))=0
We calculate terms in parentheses: -((6i-4)-(-7i+3)), so:We get rid of parentheses
(6i-4)-(-7i+3)
We get rid of parentheses
6i+7i-4-3
We add all the numbers together, and all the variables
13i-7
Back to the equation:
-(13i-7)
-13i+7=0
We move all terms containing i to the left, all other terms to the right
-13i=-7
i=-7/-13
i=7/13
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