How do you simplify #-2(-2u-w)-3(5w+3u)#?

1 Answer
Jun 30, 2018

Answer:

#-5u-13w#

Explanation:

#-2(-2u-w) - 3(5w+3u)#

Use the distributive property to simplify #-2(-2u-w)# and #-3(5w+3u)#:
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Following this image, we know that:
#color(blue)(-2(-2u-w) = (-2 * -2u) + (-2 * -w) = 4u + 2w)#
and
#color(blue)(-3(5w+3u) = (-3 * 5w) + (-3 * 3u) = -15w - 9u)#

Combine the two expressions:
#4u + 2w - 15w - 9u#

Combine like terms:
#-5u-13w#

Hope this helps!