Add 1 to both sides of the equation: $\displaystyle-{\left|{b}+{4}\right|}={11}\usepackage{cmbright}\Huge\$

Divide both sides of the equation by $\displaystyle-{1}\usepackage{cmbright}\Huge\$ : $\displaystyle{\left|{b}+{4}\right|}=-{11}\usepackage{cmbright}\Huge\$

Since it's impossible to have an absolute value equal to a negative number, this equation has no solution.