Question

Complete the process of solving the equation.
Fill in the missing term and select the missing description. Simplify any fractions.
w/–14
+12=18
w/–14
=6
Add 12 to both sides
Subtract 12 from both sides
Multiply both sides by 12
Divide both sides by 12
Apply the distributive property
w=
Multiply both sides by
–
14

Answer 1

Let's solve the equation step-by-step to find the missing terms and descriptions. The original equation is:

\[
\frac{w}{-14} + 12 = 18
\]

### Step 1: Isolate the term with \( w \)

Subtract 12 from both sides:

\[
\frac{w}{-14} + 12 - 12 = 18 - 12
\]

This simplifies to:

\[
\frac{w}{-14} = 6
\]

### Step 2: Solve for \( w \)

Now, we want to isolate \( w \) by multiplying both sides by \(-14\):

\[
w = 6 \times (-14)
\]

Calculating that gives:

\[
w = -84
\]

So, we have filled in the missing term and solved the equation.

### Now let's recap what we did:

1. **Missing term**: The missing term in your statement is \(-14\) in the multiplication.
2. **Description**: The correct description is "Subtract 12 from both sides".

Thus, the final filled-in message should read:

1. \( w = -84 \)
2. You **Subtract 12 from both sides**.
3. You multiply both sides by **–14**.

### Complete Summary
\[
w = -84
\]
**Subtract 12 from both sides.**
**Multiply both sides by –14.**