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(7-5i)+(6-9i)=
We move all terms to the left:
(7-5i)+(6-9i)-()=0
We add all the numbers together, and all the variables
(-5i+7)+(-9i+6)-()=0
We add all the numbers together, and all the variables
(-5i+7)+(-9i+6)=0
We get rid of parentheses
-5i-9i+7+6=0
We add all the numbers together, and all the variables
-14i+13=0
We move all terms containing i to the left, all other terms to the right
-14i=-13
i=-13/-14
i=13/14
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