# How do you simplify 4(2-3i)+6i?

The simplified complex number is $8 - 6 i$.
Begin by distributing the $4$, then combine like terms. Remember that the standard form of a complex number requires that imaginary part be stated after the real part.
$4 \left(2 - 3 i\right) + 6 i$
$8 - 12 i + 6 i$
$8 - 6 i$