Complete the process of solving the equation.

Question

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.