Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
4(3c+5)=20
12c+20=20
Add 4 to both sides
Subtract 4 from both sides
Multiply both sides by 4
Divide both sides by 4
Apply the distributive property
12c=
Subtract 20 from both sides
c=
Divide both sides by 1

Answer 1

Let's solve the equation step by step and fill in the missing terms as requested.

1. Start with the original equation:

\[
4(3c + 5) = 20
\]

2. Apply the **distributive property**:

\[
4 \cdot 3c + 4 \cdot 5 = 20
\]

So, this becomes:

\[
12c + 20 = 20
\]

3. Next, we need to isolate the term with \(c\). We can **subtract 20 from both sides**:

\[
12c + 20 - 20 = 20 - 20
\]

This simplifies to:

\[
12c = 0
\]

4. Now, **divide both sides by 12**:

\[
c = \frac{0}{12}
\]

Simplifying this, we get:

\[
c = 0
\]

So, the complete process with all missing terms filled in is:

- Start with: \(4(3c + 5) = 20\)
- Apply the distributive property: \(12c + 20 = 20\)
- Subtract 20 from both sides: \(12c = 0\)
- Divide both sides by 12: \(c = 0\)

The missing descriptions and terms you need to fill in are:
- Apply the distributive property
- Subtract 20 from both sides
- \(12c = 0\)
- \(c = 0\)

The fractions were already simplified. The other operations (adding or subtracting from both sides, multiplying or dividing) do not apply in this case except for the specific actions we took.