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6-5i=-8-7i
We move all terms to the left:
6-5i-(-8-7i)=0
We add all the numbers together, and all the variables
-5i-(-7i-8)+6=0
We get rid of parentheses
-5i+7i+8+6=0
We add all the numbers together, and all the variables
2i+14=0
We move all terms containing i to the left, all other terms to the right
2i=-14
i=-14/2
i=-7
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