We can solve this equation by subtracting iz+3 from both sides, which gives us:
2z - iz = 3
Combining like terms, we get:
z(2 - i) = 3
Dividing both sides by 2−i, we get:
z = 3 / (2 - i)
We can simplify this expression by multiplying the numerator and denominator by the conjugate of the denominator, which is 2+i. This gives us:
z = 3(2 + i) / (2^2 - (-1)) = 3(2 + i) / 5 = (6 + 3i) / 5 = 6/5 + 3/5*i.