#-5(n+16)-7# What is the answer to this?

1 Answer
Mar 29, 2018

#5n + 87#

Explanation:

Using the distributive property, we can simplify this problem. Here is a helpful image for the distributive property:
https://sites.google.com/a/d83.org/math-6/chapter-6/6-6-the-distributive-property

In your problem, we will multiply #-5# by #n# and #+16#.
#-5(n + 16) - 7#
#-5n + (-80) + (- 7)#

We now have negative #80# and negative #7# being added together. So that will be:
#-5n + (-87)#

We can actually multiply this whole equation by #-1# so that the equation is positive because
#"negative" xx "negative" = "positive"#

#-1(-5n - 87) rarr 5n + 87#

The simplest form of this equation is:
#5n + 87#