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 = _.
= Distributive Property: 21k - 14 - 13k = 82
= Original Equation: 7(3k - 2) - 13k = 82
= Final Result: k = 12
= Division Property of Equality: 8k/8 = 96/8
= Addition Property of Equality: 8k - 14 + 14 = 82 + 14
= Combine Like Terms: 8k - 14 = 82
= Simplify: 8k = 96
NOTE: Start with the original equation and end with the final result k = _.
= Distributive Property: 21k - 14 - 13k = 82
= Original Equation: 7(3k - 2) - 13k = 82
= Final Result: k = 12
= Division Property of Equality: 8k/8 = 96/8
= Addition Property of Equality: 8k - 14 + 14 = 82 + 14
= Combine Like Terms: 8k - 14 = 82
= Simplify: 8k = 96
Answers
Answered by
GPT-4o mini
To solve the equation \( 7(3k - 2) - 13k = 82 \) in order, you would arrange the steps 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:** \( k = 12 \)
So the complete sequence of steps is listed above, showing how to derive the final result.
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:** \( k = 12 \)
So the complete sequence of steps is listed above, showing how to derive the final result.