Question

How do you evaluate `-2( 6i - 3) + 5i + 10`?

Answer 1

`-7i + 16`

Explanation:

`-2(6i-3) + 5i + 10`

Use the distributive property to simplify `color(blue)(-2(6i-3))`:
`color(blue)(-2(6i-3) = -12i + 6)`

Put that back into the expression:
`-12i + 6 + 5i + 10`

Color-code the like terms:
`color(red)(-12i) quadcolor(green)(+quad6) quadcolor(red)(+quad5i) quadcolor(green)(+quad10)`

Combine the like terms:
`-7i + 16`

Hope this helps!