Question

Question content area top
Part 1
Solve the equation. Note if the equation is an identity or if it has no solution.
negative 3 left parenthesis negative c minus 24 right parenthesisequalsnegative 3cminus24
Question content area bottom
Part 1
Select the correct choice and fill in any answer boxes in your choice below.
A.
cequals
  
enter your response here
B.
The equation is an identity.
C.
The equation has no solution.

Answer 1

Let's solve the equation step by step.

The given equation is:

\[
-3(-c - 24) = -3c - 24
\]

First, distribute the \(-3\) on the left side:

\[
-3 \cdot (-c) - 3 \cdot 24 = 3c - 72
\]

So, the left side simplifies to:

\[
3c - 72
\]

Now, we can rewrite the equation:

\[
3c - 72 = -3c - 24
\]

Next, we will move all terms involving \(c\) to one side and constant terms to the other side. Add \(3c\) to both sides:

\[
3c + 3c - 72 = -24
\]

This simplifies to:

\[
6c - 72 = -24
\]

Now, add \(72\) to both sides:

\[
6c = -24 + 72
\]

This simplifies to:

\[
6c = 48
\]

Now, divide both sides by \(6\):

\[
c = \frac{48}{6} = 8
\]

Thus, the solution to the equation is:

\[
c = 8
\]

Since we found a specific solution, the answer is:

**A. \(c = 8\)**.