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(9-4i)+(6+9i)=0
We add all the numbers together, and all the variables
(-4i+9)+(9i+6)=0
We get rid of parentheses
-4i+9i+9+6=0
We add all the numbers together, and all the variables
5i+15=0
We move all terms containing i to the left, all other terms to the right
5i=-15
i=-15/5
i=-3
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