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

1 Answer
May 13, 2018

12w - 28

Explanation:

8w - 4(7-w)

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