Solve for z.

$\displaystyle\frac{{1}}{{{z}+{7}}}+\frac{{-{z}}}{{4}}={1}\usepackage{cmbright}\Huge\$ , $\displaystyle{z}\ne-{7}\usepackage{cmbright}\Huge\$

Enter multiple terms separated by a comma, for example: -1,-2

Do not add a space between the terms.