Let's simplify the expression step by step:
16 + 5(-c - 2(c - 4)) = 12(3 - 2c) - 1
Distribute the 5 on the inner expression:
16 + 5(-c) - 5(2c) + 5(4) = 12(3 - 2c) - 1
Simplify the inner expression:
16 - 5c - 10c + 20 = 12(3 - 2c) - 1
Combine like terms:
16 - 15c + 20 = 36 - 24c - 1
Add the constants:
36 - 15c = 36 - 24c - 1
Subtract 36 from both sides:
-15c = -24c - 1
Add 24c to both sides:
9c = -1
Divide by 9 to solve for c:
c = -1/9
So the solution to the equation is c = -1/9.
Let's simplify the expression step by step:
16 + 5(-c - 2(c - 4)) = 12(3 - 2c) - 1
Distribute the 5 on the inner expression:
16 + 5(-c) - 5(2c) + 5(4) = 12(3 - 2c) - 1
Simplify the inner expression:
16 - 5c - 10c + 20 = 12(3 - 2c) - 1
Combine like terms:
16 - 15c + 20 = 36 - 24c - 1
Add the constants:
36 - 15c = 36 - 24c - 1
Subtract 36 from both sides:
-15c = -24c - 1
Add 24c to both sides:
9c = -1
Divide by 9 to solve for c:
c = -1/9
So the solution to the equation is c = -1/9.