To solve for \( f \) in the equation \( 7f + g = 5 \), follow these steps:

### Step 1: Isolate the term with \( f \)
Subtract \( g \) from both sides of the equation to isolate the term \( 7f \):

\[
7f = 5 - g
\]

### Step 2: Solve for \( f \)
Now, divide both sides by 7 to solve for \( f \):

\[
f = \frac{5 - g}{7}
\]

Thus, the solution for \( f \) is:

\[
f = \frac{5 - g}{7}
\]

Let me know if you'd like further details or explanations!

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Here are 5 related questions for further exploration:
1. How would you solve for \( g \) instead of \( f \) in the same equation?
2. What happens if \( g = 2 \)? What would \( f \) equal?
3. Can you generalize this method to solve \( af + g = h \)?
4. How does solving for \( f \) change if the equation were \( 7f - g = 5 \)?
5. What if both \( f \) and \( g \) were expressed as functions of another variable?

**Tip:** When solving linear equations, always start by isolating the variable you're solving for.

Learn how to solve the linear equation 7f + g = 5 with a clear step-by-step solution. This problem introduces key algebraic concepts, isolating variables and solving for f, and is suitable for students in Grades 7-9.

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