https://file.aiquickdraw.com/mathbot/file/1725417368364xxylwbdt.jpg

The equation provided in the image is:

\[
42 + 5f = 8f
\]

### Steps to Solve the Equation:

1. **Subtract \(5f\) from both sides** to isolate the variable \(f\) on one side of the equation:
   \[
   42 = 8f - 5f
   \]

2. **Simplify the equation** by combining like terms on the right side:
   \[
   42 = 3f
   \]

3. **Divide both sides by 3** to solve for \(f\):
   \[
   f = \frac{42}{3}
   \]

4. **Simplify the result**:
   \[
   f = 14
   \]

So, the solution is \(f = 14\).

Would you like further details or have any questions?

Here are some related questions for practice:

1. What happens if you add a constant to both sides of an equation?
2. How do you solve an equation with a variable on both sides?
3. Can you solve \(7f - 21 = 14f - 42\)?
4. What does it mean to isolate a variable in an equation?
5. How would you check if the solution to the equation is correct?

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

Learn how to solve the linear equation 42 + 5f = 8f with a detailed step-by-step solution. This problem is suitable for students in Grades 6-8 and covers key algebraic concepts and equation manipulation techniques.

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