How do you simplify #-w + 4 (w + 3)#?

1 Answer
Jun 11, 2018

Answer:

#3w + 12#

Explanation:

#-w+4(w+3)#

To simplify this, first use the distributive property (shown below) to simplify/expand #4(w+3)#:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(4(w+3) = (4 * w) + (4 * 3) = 4w + 12)#

Put it back into the expression:
#-w + 4w + 12#

Combine the like terms #color(blue)(-w)# and #color(blue)(4w)#:
#3w + 12#

Hope this helps!