How do you simplify #8w-4(7-w)#?

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Answer 1 · 2018-05-13T04:27:56

#12w - 28#

#8w - 4(7-w)#

First, use the distributive property to simplify #color(blue)(-4(7-w))#:
cdn.virtualnerd.com

Based on this image, we know that:
#color(blue)(-4(7-w) = -28 + 4w)#

Let's put that back into the expression:
#8w - 28 + 4w#

Let's highlight the like terms:
#color(red)(8w) - 28 quadcolor(red)(+quad4w)#

Combine the like terms:
#12w - 28#

Hope this helps!