2z+3-2i = (2z-i)/2 . To find
z.
First we simplify the right side as z-(1/2) and then we
move the z's to left and numbers to the right as below:
2z
+3-2i = z- (1/2)i.
Subtract z from both
sides:
2z-z + 3-2i =
-(1/2)i.
z+3-2i =
-(1/2)i.
Subtract 3-2i from both
side:
z = -(1/2)i-(3-2i).
We
add the like terms on the right.
z = -3 - 1/2i
+2i.
z = -3 +(2-1/2)i.
z = -3
+(3/2)i.
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