Question

Put the steps in order to solve the equation 7(3k - 2) - 13k = 82.

NOTE: Start with the original equation and end with the final result k = _.

= Final Result: k = 12
= Original Equation: 7(3k - 2) - 13k = 82
= Simplify: 8k = 96
= Division Property of Equality: 8k/8 = 96/8
= Distributive Property: 21k - 14 - 13k = 82
= Addition Property of Equality: 8k - 14 + 14 = 82 + 14
= Combine Like Terms: 8k - 14 = 82

Answer 1

To solve the equation \( 7(3k - 2) - 13k = 82 \) step by step, we can organize the steps in the correct order as follows:

1. **Original Equation**: \( 7(3k - 2) - 13k = 82 \)

2. **Distributive Property**: \( 21k - 14 - 13k = 82 \)

3. **Combine Like Terms**: \( 8k - 14 = 82 \)

4. **Addition Property of Equality**: \( 8k - 14 + 14 = 82 + 14 \)

5. **Simplify**: \( 8k = 96 \)

6. **Division Property of Equality**: \( \frac{8k}{8} = \frac{96}{8} \)

7. **Final Result**: \( k = 12 \)

Putting it all together gives the ordered steps for solving the equation.