Distribute
$-11i$ through the parentheses
$11i+22{i}^{2}$
By definition
${i}^{2}=-1$
$11i+22 \times \left( -1 \right)$
Any expression multiplied by
$-1$ equals its opposite
$11i-22$
Use the commutative property to reorder the terms
$-22+11i$
To find the conjugate of a complex number
$a+bi$, change the sign of the imaginary part
$-22-11i$