Solve the equation. Note if the equation is an identity or if it has no solution.

-2(-c - 20) = -2c - 20

Part 1
Select the correct choice and fill in any answer boxes in your choice below.
A.
c =

B.
The equation is an identity.
C.
The equation has no solution.

1 answer

To solve the equation, we will start by distributing -2 to (-c - 20):

-2(-c - 20) = -2c - 20
2c + 40 = -2c - 20

Now, we will combine like terms:

2c + 40 + 2c = -2c - 20 + 2c
4c + 40 = -20

Next, we will isolate the variable terms:

4c + 40 - 40 = -20 - 40
4c = -60

Finally, we will solve for c by dividing both sides of the equation by 4:

4c/4 = -60/4
c = -15

Therefore, the solution to the equation is c = -15.

The correct choice is:
A. c = -15