# How do you solve #-3+2abs(n-9)=1#?

##### 2 Answers

#### Explanation:

First, isolate the modulus on one side of the equation by adding

Now, this equation can produce **2 distinct values** for

*If*#(n-9)<0# ,*then you have*

#|n-9| = -(n-9) = -n + 9#

This means that the equation becomes

*If*#(n-9)>0# ,*then you have*

#|n-9| = n-9#

This means that

There is a geometric way to think about this.

#### Explanation:

Starting with

we can see that we must have:

On the number line, this means that the distance between

There are two numbers that are

So, we get:

and