https://file.aiquickdraw.com/mathbot/file/1727789752183ov0bwo91.jpg

Let's solve the equation from the image step-by-step. The given equation is:

\[ \frac{3}{5}f + 24 = 4 - \frac{1}{5}f \]

### Step 1: Combine like terms involving \( f \)

First, we'll move all the terms involving \( f \) to one side of the equation and the constant terms to the other side.

\[ \frac{3}{5}f + \frac{1}{5}f = 4 - 24 \]

Combining the \( f \) terms on the left side:

\[ \left(\frac{3}{5} + \frac{1}{5}\right)f = -20 \]

### Step 2: Simplify the equation

Add the fractions on the left side:

\[ \frac{4}{5}f = -20 \]

### Step 3: Solve for \( f \)

To isolate \( f \), multiply both sides by the reciprocal of \( \frac{4}{5} \):

\[ f = -20 \times \frac{5}{4} \]

\[ f = -20 \times 1.25 \]

\[ f = -25 \]

### Solution

\[ f = -25 \]

Would you like further details or have any questions?

Here are 5 related questions to explore further:

1. How do you solve linear equations with fractions?
2. What is the process for combining like terms in an equation?
3. How can you check if your solution to an equation is correct?
4. What are some methods for solving equations involving fractions?
5. How do you solve a system of linear equations?

**Tip:** When dealing with equations involving fractions, it's often helpful to clear the fractions by multiplying both sides by the least common denominator (LCD) before solving.

Solve the equation: \( \frac{3}{5}f + 24 = 4 - \frac{1}{5}f \)

Learn how to solve the linear equation \( \frac{3}{5}f + 24 = 4 - \frac{1}{5}f \) step by step. This problem involves combining like terms and simplifying equations with fractions. Ideal for students in Grades 7-9.

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