Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
5(
–
14r–12)=
–
10
70r+60=
–
10
Add -5 to both sides
Subtract -5 from both sides
Multiply both sides by -5
Divide both sides by -5
Apply the distributive property
70r=
Subtract 60 from both sides
r=
Divide both sides by 70

Answer 1

Let's complete the process of solving the equation step by step.

1. Start with the equation:

\[
-5(-14r - 12) = -10
\]

2. Apply the distributive property:

\[
-5 \cdot -14r - 5 \cdot -12 = -10
\]

This simplifies to:

\[
70r + 60 = -10
\]

3. Now we have the equation:

\[
70r + 60 = -10
\]

4. Next, we will subtract 60 from both sides:

\[
70r + 60 - 60 = -10 - 60
\]

This simplifies to:

\[
70r = -70
\]

5. Now we need to divide both sides by 70:

\[
\frac{70r}{70} = \frac{-70}{70}
\]

This simplifies to:

\[
r = -1
\]

So we have filled in the missing terms, described the steps, and simplified any fractions for the equation solving process.

Here’s the process summarized with missing terms and operations:

1. **Equation**: \( -5(-14r - 12) = -10 \)
2. **Apply the distributive property**: \( 70r + 60 = -10 \)
3. **Subtract 60 from both sides**: \( 70r = -70 \)
4. **Divide both sides by 70**: \( r = -1 \)

### The missing descriptions:
- **Multiply both sides by -5** (this step was used to initially manipulate the equation).
- **Apply the distributive property**.
- **Subtract 60 from both sides**.
- **Divide both sides by 70**.