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(5+8i)-(-2=3i)
We move all terms to the left:
(5+8i)-(-2-(3i))=0
We add all the numbers together, and all the variables
(8i+5)-(-3i-2)=0
We get rid of parentheses
8i+3i+5+2=0
We add all the numbers together, and all the variables
11i+7=0
We move all terms containing i to the left, all other terms to the right
11i=-7
i=-7/11
i=-7/11
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