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Default Solver - Minimize an absolute value

I am trying to minimize the absolute value difference between two numbers.
The challenge is that solver sees -45 as a better anwer than -1; I'm trying
to hit zero if at all possible.
When I use the "abs" function my solver spits out the "@@# does not
conform to a linear model". Assume linear model is a requirement in my
application.

Any ideas?
 
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