\[|b + 5| = 11\]
\[b + 5 = 11\ \ \ \ или\ \ \ \ b + 5 = - 11\]
\[b = 11 - 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b = - 11 - 5\]
\[b = 6.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b = - 16.\]
\[Ответ:b = - 16;\ b = 6.\]