The first step in solving the problem is to distribute the 8. We know this because of the system or order of operations as well as the distributive property.
8(2+7c)=-19
16+56c=-19
The next step in solving is to isolate the variable, which we can do by performing the opposite operations of the values
16+56c=-19
-16 -16
56c=-35
/56 /56
c=-35/56
Finally, we should put our equation in simplest form.
c=-35/56
c=-5/8=-.625
Using the math above, we can see that the value of the variable is -5/8 or -.625.