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.

The mode of the numbers is 29.