To solve for \( f \) in the equation:

\[
6 = 2(13 + 2f)
\]

Follow these steps:

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

2. Subtract 26 from both sides:
   \[
   6 - 26 = 4f
   \]
   \[
   -20 = 4f
   \]

3. Divide both sides by 4:
   \[
   f = \frac{-20}{4}
   \]
   \[
   f = -5
   \]

Thus, \( f = -5 \).

Would you like more details or have any questions? Here are some related questions:

1. How do you verify the solution of an equation?
2. What is the process of distributing terms in an equation?
3. How do you handle equations with variables on both sides?
4. What are some methods for simplifying linear equations?
5. How would you solve this equation if it involved fractions?

**Tip:** Always check your solution by substituting the value of the variable back into the original equation.

Learn how to solve the linear equation 6 = 2(13 + 2f) with a detailed step-by-step solution. This problem involves applying the distributive property and solving for the variable f. Suitable for students in Grades 6-8.

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