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

### Step 1: Isolate the term with \( f \)
We want to isolate \( 7f \) on one side of the equation. To do this, subtract \( g \) from both sides:

\[
7f = 5 - g
\]

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

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

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

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

Would you like any further details or clarification on this solution?

Here are 5 related questions:
1. How would you solve for \( g \) if \( f \) were given?
2. What if the equation were \( 7f + g = 0 \)? How would that change the solution for \( f \)?
3. Can you solve the equation if both \( f \) and \( g \) are known?
4. How would you graph this equation to visually represent the relationship between \( f \) and \( g \)?
5. How does this linear equation compare to solving a quadratic equation?

**Tip:** When isolating a variable, always perform the same operation on both sides of the equation to maintain equality.

This detailed guide explains how to solve the linear equation 7f + g = 5 for the variable f. It covers basic algebraic concepts, including isolating variables and properties of equality. Perfect for students in Grades 6-8 looking to strengthen their understanding of linear equations.

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