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(6+8i)-(2-2i)=i
We move all terms to the left:
(6+8i)-(2-2i)-(i)=0
We add all the numbers together, and all the variables
(8i+6)-(-2i+2)-i=0
We add all the numbers together, and all the variables
-1i+(8i+6)-(-2i+2)=0
We get rid of parentheses
-1i+8i+2i+6-2=0
We add all the numbers together, and all the variables
9i+4=0
We move all terms containing i to the left, all other terms to the right
9i=-4
i=-4/9
i=-4/9
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