Answer: {-14,-26}
Step-by-step explanation:
Let x be the number.
Given statements: If 20 is added to the number, the absolute value of the result is 6.
i.e. |x+20| =6
Since 
So, 

hence, set of values of x = {-14,-26}
The answer and process is shown in the following picture
You should try to restate the question more descriptively.
25 is the answer of this problem