To solve the equation \( 30 = 9(8k - 3) \), follow these steps:

1. **Distribute** the 9 on the right-hand side:
   \[
   30 = 9 \times 8k - 9 \times 3
   \]
   \[
   30 = 72k - 27
   \]

2. **Add** 27 to both sides to isolate the term with \( k \):
   \[
   30 + 27 = 72k
   \]
   \[
   57 = 72k
   \]

3. **Divide** both sides by 72 to solve for \( k \):
   \[
   k = \frac{57}{72}
   \]

4. **Simplify** the fraction:
   \[
   k = \frac{57 \div 3}{72 \div 3} = \frac{19}{24}
   \]

So, the solution is \( k = \frac{19}{24} \).

Would you like more details or have any questions?

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Here are some related questions you might be interested in:

1. How do you solve equations with variables on both sides?
2. What are some methods for simplifying fractions?
3. Can you show examples of solving linear equations with distribution?
4. How can you verify the solution to an equation?
5. What is the importance of isolating the variable in an equation?

**Tip:** Always check your final solution by substituting it back into the original equation to ensure it satisfies the equation.

User Problem: The query submitted by the user:30=9(8k-3)

Learn how to solve the equation 30 = 9(8k - 3) step-by-step with a detailed solution. This problem involves equations, the distributive property, and fraction simplification. Suitable for students in Grades 7-9.

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