9
Step 1
the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sig, it means you allways will get a positive number
examples
[tex]\begin{gathered} \lvert5\rvert=5 \\ \lvert-5\rvert=5 \\ \lvert-356\rvert=356 \\ \lvert107\rvert=107 \\ \lvert-107\rvert=107 \\ \text{and so on} \end{gathered}[/tex]Step 2
Apply to solve
[tex]\lvert-12\rvert-\lvert-3\rvert[/tex][tex]\begin{gathered} \lvert-12\rvert=12 \\ \lvert-3\rvert=3 \end{gathered}[/tex]now, replace
[tex]\lvert-12\rvert-\lvert-3\rvert=12-3=9[/tex]so, the answer is
[tex]9[/tex]I hope this helps you
