How do you simplify 3( - 3w - 8) + 3( - 8w + 2)?

May 3, 2018

$- 33 w - 18$

Explanation:

Multiply both parenthesis by $3$, by multiplying each component of the parenthesis by $3$:

$3 \left(- 3 w - 8\right) = 3 \cdot \left(- 3 w\right) + 3 \cdot \left(- 8\right) = - 9 w - 24$

$3 \left(- 8 w + 2\right) = 3 \cdot \left(- 8 w\right) + 3 \cdot 2 = - 24 w + 6$

And then sum the two results:

$\left(- 9 w - 24\right) + \left(- 24 w + 6\right) =$

$= - 9 w - 24 - 24 w + 6 = - 33 w - 18$

May 3, 2018

Answer = $- 33 w - 18$

Explanation:

Simplify by opening the bracket first for each term.

$3 \left(- 3 w - 8\right) + 3 \left(- 8 w + 2\right)$
$\left(3 \times \left(- 3 w\right)\right) - \left(3 \times 8\right) + \left(3 \times \left(- 8 w\right)\right) + \left(3 \times 2\right)$
$\left(- 9 w - 24\right) + \left(- 24 w + 6\right)$
$- 9 w - 24 - 24 w + 6$
$- 33 w - 18$