Let's solve each equation separately:

1) 8e - 14 = 6e + 4

First, we want to get all the "e" terms on one side of the equation. To do this, we subtract 6e from both sides:

8e - 6e - 14 = 4

Simplify:

2e - 14 = 4

Now, add 14 to both sides:

2e = 18

Finally, divide by 2 on both sides to solve for e:

e = 9

2) (c - 3) 12 = 20 - 4 (c + 2)

First, distribute the 12 on the left side of the equation:

12c - 36 = 20 - 4c - 8

Combine like terms on the right side:

12c - 36 = 12 - 4c

Now, add 4c to both sides:

16c - 36 = 12

Add 36 to both sides:

16c = 48

Finally, divide by 16 on both sides to solve for c:

c = 3

Therefore, the solutions to the equations are e = 9 and c = 3.