2 (4c - 7) < 8 (c - 1) - 6 if possible

Sure! Let's do this in order.

First, we can simplify the left side with the distributive property, getting us

8c-14

Next, we can simplify the right side with the distributive property, getting us

8c-8-6.

That gives us 8c-14<8c-8-6.

We can subtract 8c from both sides, getting us

-14<-8-6

Simplify the right side to get

-14<-14

This inequality has no solution. This is because the variable is gone, and the remaining equation isn't true.