Question 1167989
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This equation

    | q - 8 | = 14


tells you that the number q in the number line is 14 units from the number 8.


There are 2 (two, TWO) such numbers:  8+14 = 22  and  8-14 = -6.


So, your answer is these two numbers,  q= -6  and  q= 22.
</pre>

Solved.


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To learn more on solving such equations, see numerous examples in the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/absolute-value/-Absolute-Value-equations.lesson>Absolute Value equations</A>

in this site.