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(4-7i)-(-3+6i)=0
We add all the numbers together, and all the variables
(-7i+4)-(6i-3)=0
We get rid of parentheses
-7i-6i+4+3=0
We add all the numbers together, and all the variables
-13i+7=0
We move all terms containing i to the left, all other terms to the right
-13i=-7
i=-7/-13
i=7/13
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