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(8+3i)+(-6-12i)=0
We add all the numbers together, and all the variables
(3i+8)+(-12i-6)=0
We get rid of parentheses
3i-12i+8-6=0
We add all the numbers together, and all the variables
-9i+2=0
We move all terms containing i to the left, all other terms to the right
-9i=-2
i=-2/-9
i=2/9
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