Substitute the x-value and y-value from the ordered pair into the equation: $\displaystyle{2}{\left({3}\right)}+{2}{\left(-{4}\right)}=-{2}\usepackage{cmbright}\Huge\$

Simplify: $\displaystyle{6}+{\left(-{8}\right)}=-{2}\usepackage{cmbright}\Huge\$ or $\displaystyle-{2}=-{2}\usepackage{cmbright}\Huge\$

Since $\displaystyle-{2}=-{2}\usepackage{cmbright}\Huge\$ is a true statement, the ordered pair $\displaystyle{\left({3},-{4}\right)}\usepackage{cmbright}\Huge\$ is a solution to the equation.