# Linear imaginary equation

Given that
$2(z+i)=i(z+i)$
"this is z star"
Find the value of the complex number z.

Result

z = (Correct answer is: -i)

#### Solution:

$2(z+i) = i(z+i) \ \\ 2 \ z+2 \ i = -1+i z \ \\ z = -i$

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