Certainly! Let's solve this problem step-by-step and identify the properties of equality used in each specified step.
### Step-by-Step Solution
1. Given Equation:
[tex]\[
-7n + 11 = -10
\][/tex]
2. Step 2: Subtract 11 from both sides
[tex]\[
-7n + 11 - 11 = -10 - 11
\][/tex]
This step involves subtracting 11 from both sides of the equation to isolate the term containing the variable [tex]\( n \)[/tex]. Therefore, the [tex]$\square$[/tex] property of equality applied here is Subtraction.
3. Simplify both sides:
[tex]\[
-7n = -21
\][/tex]
4. Step 4: Divide both sides by -7
[tex]\[
\frac{-7n}{-7} = \frac{-21}{-7}
\][/tex]
This step involves dividing both sides by -7 to solve for the variable [tex]\( n \)[/tex]. Therefore, the [tex]$\square$[/tex] property of equality applied here is Division.
5. Simplify the equation:
[tex]\[
n = 3
\][/tex]
### Summary
- In step 2, the Subtraction property of equality was applied.
- In step 4, the Division property of equality was applied.
So the completed statements are:
- In step 2, the Subtraction property of equality was applied.
- In step 4, the Division property of equality was applied.
