How do you simplify # -9(10-4k)+4#?

1 Answer
Jun 30, 2018

Answer:

#36k - 86#

Explanation:

#-9(10-4k) + 4#

First, use the distributive property (shown below) to simplify #-9(10-4k)#:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(-9(10-4k) = (-9 * 10) + (-9 * -4k) = -90 + 36k)#

Put that back into the expression:
#-90 + 36k + 4#

Add #color(blue)(-90)# and #color(blue)4#:
#-86 + 36k#

# = 36k - 86#

Hope this helps!