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-12(i-12)=-9(1+7i)
We move all terms to the left:
-12(i-12)-(-9(1+7i))=0
We add all the numbers together, and all the variables
-12(i-12)-(-9(7i+1))=0
We multiply parentheses
-12i-(-9(7i+1))+144=0
We calculate terms in parentheses: -(-9(7i+1)), so:We get rid of parentheses
-9(7i+1)
We multiply parentheses
-63i-9
Back to the equation:
-(-63i-9)
-12i+63i+9+144=0
We add all the numbers together, and all the variables
51i+153=0
We move all terms containing i to the left, all other terms to the right
51i=-153
i=-153/51
i=-3
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