To simplify the given expression:

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

Step-by-step Solution:

1. Combine the like terms involving $m$: $\frac{2}{5}m - \frac{3}{5}m = -\frac{1}{5}m$

2. Write the remaining term: $-\frac{1}{5}m - \frac{4}{5}$

Thus, the simplified expression is:

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

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Related Questions:

1. How can we simplify expressions with more variables?
2. What are the rules for adding fractions with different denominators?
3. How does factoring help in simplifying algebraic expressions?
4. How do you distribute fractions in algebraic expressions?
5. What are real-world applications of simplifying algebraic expressions?

Tip:

When simplifying algebraic expressions, always group like terms (those involving the same variable raised to the same power) before simplifying the constants.