To solve the equation \(6 = 2(13 + 2f)\), follow these steps:

1. Distribute the 2 on the right-hand side:
   \[
   6 = 2 \cdot 13 + 2 \cdot 2f
   \]
   \[
   6 = 26 + 4f
   \]

2. Subtract 26 from both sides to isolate the term with \(f\):
   \[
   6 - 26 = 4f
   \]
   \[
   -20 = 4f
   \]

3. Divide both sides by 4 to solve for \(f\):
   \[
   \frac{-20}{4} = f
   \]
   \[
   f = -5
   \]

So, the solution is \(f = -5\).

Would you like a detailed explanation or have any questions about this solution?

Here are 8 related questions to expand on this topic:

1. How do you solve equations with variables on both sides?
2. What is the distributive property and how is it used in solving equations?
3. Can you provide another example of solving a linear equation?
4. What are the steps to isolate a variable in an equation?
5. How do you check if the solution to an equation is correct?
6. What happens if an equation has no solution or infinitely many solutions?
7. How do you solve equations with fractions?
8. What are some common mistakes to avoid when solving linear equations?

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

Learn how to solve the equation 6 = 2(13 + 2f) step-by-step with detailed explanations. This problem involves basic algebraic equations and the distributive property. Suitable for high school students.

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