To solve the equation \( 20 = 5(k - 8) \), we can follow these steps:

1. **Distribute** the 5 on the right side of the equation:
   \[
   20 = 5k - 40
   \]

2. **Add 40** to both sides to isolate the term with \( k \):
   \[
   20 + 40 = 5k
   \]
   \[
   60 = 5k
   \]

3. **Divide** both sides by 5 to solve for \( k \):
   \[
   k = \frac{60}{5}
   \]
   \[
   k = 12
   \]

So, the solution is \( k = 12 \).

Would you like further details on the steps or have any other questions?

Here are 5 related questions you might find interesting:
1. How would you solve \( 4(k - 3) = 28 \)?
2. What happens if the equation was \( 20 = 5(k - 8) + 10 \)?
3. Can you solve \( 10 = 2(k - 6) \)?
4. How would the solution change if \( 5(k - 8) = 20 \) instead?
5. What if the equation involved fractions, like \( \frac{1}{2} = \frac{k - 8}{4} \)?

**Tip:** Always simplify both sides of the equation as much as possible before solving for the variable.

Learn how to solve the linear equation 20 = 5(k - 8) with a detailed step-by-step solution. This problem involves basic algebraic concepts like linear equations and the distributive property. Suitable for students in Grades 7-9.

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