Question

Put the steps in order to solve the equation 5(3k - 2) - 11k = 82.
NOTE: Start with the original equation and end with the final result k = _


= Combine Like Terms: 4k - 10 = 82

= Distributive Property: 15k - 10 - 11k = 82

= Simplity: 4k = 92

= Original Equation: 5 (3k - 2) - 11k = 82

= Addition Property of Equality: 4k - 10 + 10 = 82 + 10

= Division Property of Equality: 4k/4 = 92/4

= Final Result: k = 23

Answer 1

To solve the equation \( 5(3k - 2) - 11k = 82 \), you would follow these steps in the correct order:

1. **Original Equation:**
\[
5(3k - 2) - 11k = 82
\]

2. **Distributive Property:**
\[
15k - 10 - 11k = 82
\]

3. **Combine Like Terms:**
\[
4k - 10 = 82
\]

4. **Addition Property of Equality:**
\[
4k - 10 + 10 = 82 + 10
\]

5. **Simplify:**
\[
4k = 92
\]

6. **Division Property of Equality:**
\[
\frac{4k}{4} = \frac{92}{4}
\]

7. **Final Result:**
\[
k = 23
\]

Putting it all together:

- Original Equation: \( 5(3k - 2) - 11k = 82 \)
- Distributive Property: \( 15k - 10 - 11k = 82 \)
- Combine Like Terms: \( 4k - 10 = 82 \)
- Addition Property of Equality: \( 4k - 10 + 10 = 82 + 10 \)
- Simplify: \( 4k = 92 \)
- Division Property of Equality: \( 4k/4 = 92/4 \)
- Final Result: \( k = 23 \)