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

May 14, 2018

$- 7 i + 16$

#### Explanation:

$- 2 \left(6 i - 3\right) + 5 i + 10$

Use the distributive property to simplify $\textcolor{b l u e}{- 2 \left(6 i - 3\right)}$:
$\textcolor{b l u e}{- 2 \left(6 i - 3\right) = - 12 i + 6}$

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

Color-code the like terms:
$\textcolor{red}{- 12 i} \quad \textcolor{g r e e n}{+ \quad 6} \quad \textcolor{red}{+ \quad 5 i} \quad \textcolor{g r e e n}{+ \quad 10}$

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

Hope this helps!