Answer :

[tex]6h+7=-8-h\ \ \ \ /-7\\\\6h+7-7=-8-7-h\\\\6h=-15-h\ \ \ \ /+h\\\\6h+h=-15-h+h\\\\7h=-15\ \ \ \ /:7\\\\h=-\frac{15}{7}\\\\h=-2\frac{1}{7}[/tex]
Bring everything to one side

7h+15=0

h = -15/7