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(3+6i)+(7-8i)=0
We add all the numbers together, and all the variables
(6i+3)+(-8i+7)=0
We get rid of parentheses
6i-8i+3+7=0
We add all the numbers together, and all the variables
-2i+10=0
We move all terms containing i to the left, all other terms to the right
-2i=-10
i=-10/-2
i=+5
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