The original equation can be rewritten as two equations without absolute value:

$\displaystyle-{6}{d}-{8}={34}\usepackage{cmbright}\Huge\$ or $\displaystyle-{6}{d}-{8}=-{34}\usepackage{cmbright}\Huge\$

Add 8 to both sides of both equations: $\displaystyle-{6}{d}={42}\usepackage{cmbright}\Huge\$ or $\displaystyle-{6}{d}=-{26}\usepackage{cmbright}\Huge\$

Divide both sides of both equations by $\displaystyle-{6}\usepackage{cmbright}\Huge\$ : $\displaystyle{d}=-{7}\usepackage{cmbright}\Huge\$ or $\displaystyle{d}={4}\frac{{1}}{{3}}\usepackage{cmbright}\Huge\$