Answer: i= -6
Explanation:
first, you want to separate the constants(Normal numbers that do NOT have i or a letter attached to them, in this case the 3 and the 8) from the -2i. To do this, you have to combine like terms first
3+8=11
Now you must subtract 11 from both sides of the equation,
11-11=0
23-11=12
you should be left with just -2i on one side, and 12 on the other side.
You now want i (the variable) by itself, so divide by the number attached to it (in this case, -2) do this for both sides.
-2i/-2= i
12/-2=-6
you are now left with your variable (i) equaling -6