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(6+8i)+(4-7i)=
We move all terms to the left:
(6+8i)+(4-7i)-()=0
We add all the numbers together, and all the variables
(8i+6)+(-7i+4)-()=0
We add all the numbers together, and all the variables
(8i+6)+(-7i+4)=0
We get rid of parentheses
8i-7i+6+4=0
We add all the numbers together, and all the variables
i+10=0
We move all terms containing i to the left, all other terms to the right
i=-10
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