Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
2(
–
3w–12)=12
–
6w–24=12
–
6w=
Add 24 to both sides
w=
Divide both sides by
–
6
Your answer:
2(
–
3w–12)=12
–
6w–24=12
Apply the distributive property
–
6w=
36
Add 24 to both sides
w=
-6
Divide both sides by
–
6

Answer 1

Let's complete the process step-by-step:

1. **Start with the original equation:**
\( 2(-3w - 12) = 12 \)

2. **Apply the distributive property:**
\( 2 \cdot (-3w) + 2 \cdot (-12) = 12 \)
This simplifies to:
\(-6w - 24 = 12\)

3. **Now we write the equation again:**
\(-6w - 24 = 12\)

4. **Add 24 to both sides:**
\(-6w - 24 + 24 = 12 + 24\)
This simplifies to:
\(-6w = 36\)

5. **Now we have:**
\(-6w = 36\)

6. **Divide both sides by \(-6\):**
\(\frac{-6w}{-6} = \frac{36}{-6}\)
This simplifies to:
\(w = -6\)

**Final Summary of the Steps:**
- Start with \(2(-3w - 12) = 12\)
- Apply the distributive property to get \(-6w - 24 = 12\)
- Add 24 to both sides to get \(-6w = 36\)
- Divide both sides by \(-6\) to find \(w = -6\)

Your answer:
- \(2(-3w - 12) = 12\)
- \(-6w - 24 = 12\)
- \(-6w = 36\) (after adding 24)
- \(w = -6\) (after dividing by \(-6\))