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3i-3(6-2i)=27
We move all terms to the left:
3i-3(6-2i)-(27)=0
We add all the numbers together, and all the variables
3i-3(-2i+6)-27=0
We multiply parentheses
3i+6i-18-27=0
We add all the numbers together, and all the variables
9i-45=0
We move all terms containing i to the left, all other terms to the right
9i=45
i=45/9
i=5
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