First, we will use the distributive property (order of operations) to simplify the equation:
(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =
20 + (−128c) + 96 = 12 + (−156c)+ (−8)
Now, we will combine like terms to simplify the equation:
(−128c) + (20 + 96) = (−156c) + (12+ (−8) =
−128c + 116 = −156c + 4
Now we will add 156 to both sides, using inverse operations.
−128c + 116 + 156c = −156c + 4 + 156c =
28c + 116 = 4
Now we will subtract 116 from both sides:
28c + 116 − 116 = 4 − 116 =
28c = −112
Lastly, we will divide both sides by 28:
28c/28 = c
-112/28 = -4
The equation now looks like:
c = -4
Therefore, your answer is -4.