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

$18 - 9 i$

#### Explanation:

Just like when dealing with variables, there are terms with a variable (eg. $3 x$ and $- 2 x$) and other terms without the x (eg. 6). The terms with the x or i combine together and the terms that don't combine with other terms that don't.

So starting with the original:

$3 i + 6 \left(3 - 2 i\right)$

we multiply the 6 through:

$3 i + 18 - 12 i$

and combine

$18 - 9 i$