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.
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
To solve the equation -2(-c - 20) = -2c - 20, we can simplify both sides of the equation step by step.
Step 1:
Distribute -2 to (-c - 20).
-2 * (-c) = 2c
-2 * (-20) = 40
The equation becomes:
2c + 40 = -2c - 20
Step 2:
Combine like terms on each side of the equation.
2c + 2c + 40 = -2c - 2c - 20 + 40
4c + 40 = -20
Step 3:
Isolate the variable term on one side by subtracting 40 from both sides.
4c + 40 - 40 = -20 - 40
4c = -60
Step 4:
Divide both sides by 4 to solve for c.
(4c)/4 = (-60)/4
c = -15
Part 1:
The correct choice is A.
c = -15