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(5+3i)+(8-9i)=0
We add all the numbers together, and all the variables
(3i+5)+(-9i+8)=0
We get rid of parentheses
3i-9i+5+8=0
We add all the numbers together, and all the variables
-6i+13=0
We move all terms containing i to the left, all other terms to the right
-6i=-13
i=-13/-6
i=2+1/6
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