Solve for 

*f*.

20

–

f

=

19

f

–

20

f

=

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

\[
20 - f = 19f - 20
\]

### Step 1: Add \( f \) to both sides to move all \( f \)-terms to the right side.

\[
20 = 19f - 20 + f
\]

This simplifies to:

\[
20 = 20f - 20
\]

### Step 2: Add 20 to both sides to isolate the \( f \)-term on the right side.

\[
20 + 20 = 20f
\]

\[
40 = 20f
\]

### Step 3: Divide both sides by 20 to solve for \( f \).

\[
f = \frac{40}{20}
\]

\[
f = 2
\]

So, the value of \( f \) is \( 2 \).

Would you like more details or have any questions?

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Here are some related questions you might find interesting:
1. What happens if the equation changes to \( 20 - 2f = 19f - 20 \)?
2. How would the solution change if the equation were \( 20 + f = 19f - 20 \)?
3. Can you solve for \( f \) in the equation \( 30 - f = 10f - 40 \)?
4. How can this equation be solved graphically?
5. What if the coefficients were fractions, how would you solve it?

**Tip:** Always simplify the equation step by step, moving all variables to one side and constants to the other.

Learn how to solve the equation 20 - f = 19f - 20 step-by-step. This problem covers linear equations and algebraic concepts, suitable for Grades 7-9.

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