Question

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
2(
–
3w–12)=12
–
6w–24=12
Multiply both sides by 2
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Apply the distributive property
–
6w=
Add 24 to both sides
w=
-6
Divide both sides by
–
6

Answer 1

Let's start by filling in the missing terms and descriptions step by step.

1. The equation is given as:
\[
2(-3w - 12) = 12
\]

2. **Apply the distributive property**:
\[
2(-3w) + 2(-12) = 12 \quad \Rightarrow \quad -6w - 24 = 12
\]

3. Now we look at the new equation:
\[
-6w - 24 = 12
\]

4. **Add 24 to both sides**:
\[
-6w - 24 + 24 = 12 + 24 \quad \Rightarrow \quad -6w = 36
\]

5. **Divide both sides by -6**:
\[
\frac{-6w}{-6} = \frac{36}{-6} \quad \Rightarrow \quad w = -6
\]

So, here are the missing terms and descriptions filled in:

- The missing term:
\[
-6w = 36
\]

- The solution:
\[
w = -6
\]

- The division:
\[
-6
\]

The complete detailed steps with the missing terms and descriptions:

1. **Apply the distributive property**
2. **Add 24 to both sides**
3. **Divide both sides by -6**

Thus, the filled terms and steps are complete!