The given expression is
[tex]-\lvert14-6n+7(q+2t)\rvert[/tex]n = 1, q = -6, and t = -2
[tex]-\lvert14-6(1)+7\lbrack(-6)+2(-2)\rbrack\rvert=[/tex]Simplify the square bracket
[tex]\begin{gathered} -\lvert14-6+7\lbrack-6+(-4)\rbrack\rvert= \\ -\lvert14-6+7\lbrack-10\rbrack\rvert= \end{gathered}[/tex]Multiply 7 by -10
[tex]\begin{gathered} -\lvert14-6+(-70)\rvert= \\ -\lvert14-6-70\rvert= \end{gathered}[/tex]Add all terms
[tex]-\lvert14-6-70\rvert=-\lvert-62\rvert[/tex]The absolute value will cancel the negative of 62 (I-62I = 62)
[tex]-\lvert-62\rvert=-62[/tex]The answer is -62
