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.