Let's complete the process of solving the equation step by step.
- Start with the equation:
\[ -5(-14r - 12) = -10 \]
- Apply the distributive property:
\[ -5 \cdot -14r - 5 \cdot -12 = -10 \]
This simplifies to:
\[ 70r + 60 = -10 \]
- Now we have the equation:
\[ 70r + 60 = -10 \]
- Next, we will subtract 60 from both sides:
\[ 70r + 60 - 60 = -10 - 60 \]
This simplifies to:
\[ 70r = -70 \]
- 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:
- Equation: \( -5(-14r - 12) = -10 \)
- Apply the distributive property: \( 70r + 60 = -10 \)
- Subtract 60 from both sides: \( 70r = -70 \)
- 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.