Solve the given equation for z :
2iz - 5 + i = i - (z - 2i )
2iz - 5 = 2i - z
(2i + 1) z = 2i + 5
z = (2i + 5)/(2i + 1)
z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)
z = (4i ² + 10i - 2i - 5) / (4i ² - 1)
z = (8i - 9)/(-5)
z = 9/5 - 8/5 i
Then
w = z - 1 + i = 4/5 - 3/5 i
