Let's begin by listing out the information given to us:
-(3c - 8) - 3c
Expand the bracket, we have:
-3c - (-8) - 3c ⇒ -3c + 8 - 3c
-3c + 8 - 3c
Put like terms together, we have:
-3c -3c + 8 ⇒ -6c + 8
-6c + 8
To solve for "c", we equate to zero. We have:
-6c + 8 = 0
Add "6c" to both sides, we have:
-6c + 6c + 8 = 0 + 6c
8 = 6c ⇒ 6c = 8
6c = 8
Divide both sides by "6", we have:
c = 8/6 = 4/3
c = 4/3