Let's analyze and solve the equation shown in the image:

$\frac{2}{5}m - \frac{4}{5} - \frac{3}{5}m$

Step 1: Combine the like terms involving $m$.

We have the terms $\frac{2}{5}m$ and $-\frac{3}{5}m$. When we combine them, we subtract the coefficients:

$\frac{2}{5}m - \frac{3}{5}m = -\frac{1}{5}m$

Step 2: Combine the constant term.

The remaining term is the constant $-\frac{4}{5}$, which doesn't combine with the terms involving $m$.

Final Answer:

$-\frac{1}{5}m - \frac{4}{5}$

This is the simplified version of the given expression.

Let me know if you want further details or clarifications!

Here are some related questions to explore further:

1. How do you add and subtract fractions with the same denominator?
2. What happens if the equation has a different denominator?
3. Can you rewrite this expression in another equivalent form?
4. How would you solve this if you set the expression equal to zero?
5. How can you factor out common terms from the simplified expression?

Tip:

When combining like terms, always ensure that you carefully align the variables and constants separately. This helps avoid errors!