# How do you simplify 6x + 2y - 7( 6x - 4y + 4z )?

Jun 18, 2018

$- 36 x + 30 y - 28 z$

#### Explanation:

Given: $6 x + 2 y - 7 \left(6 x - 4 y + 4 z\right)$

First distribute the $- 7$:

$6 x + 2 y - 7 \left(6 x\right) - 7 \left(- 4 y\right) - 7 \left(4 z\right)$

$= 6 x + 2 y - 42 x + 28 y - 28 z$

Now add terms that are alike:

$= \left(6 x - 42 x\right) + \left(2 y + 28 y\right) - 28 z$

$= - 36 x + 30 y - 28 z$