Add:
`5m - 7n, 3n - 4m + 2, 2m - 3mm - 5`

Answer

To solve the problem of adding the algebraic expressions \(5m - 7n\), \(3n - 4m + 2\), and \(2m - 3mn - 5\), we will follow these steps:

### Step 1: Write down the expressions
We start by writing down all the given expressions clearly:
1. \(5m - 7n\)
2. \(3n - 4m + 2\)
3. \(2m - 3mn - 5\)

### Step 2: Group like terms
Next, we group the like terms together. The like terms are those that contain the same variable.
- For \(m\) terms: \(5m\), \(-4m\), and \(2m\)
- For \(n\) terms: \(-7n\) and \(3n\)
- For constant terms: \(2\) and \(-5\)
- For \(mn\) terms: \(-3mn\)

### Step 3: Combine the \(m\) terms
Now, we combine the \(m\) terms:
\[ 5m - 4m + 2m = (5 - 4 + 2)m = 3m \]

### Step 4: Combine the \(n\) terms
Next, we combine the \(n\) terms:
\[ -7n + 3n = (-7 + 3)n = -4n \]

### Step 5: Combine the constant terms
Now, we combine the constant terms:
\[ 2 - 5 = -3 \]

### Step 6: Write the final expression
Now, we can write the final expression by putting all the combined terms together:
\[ 3m - 4n - 3mn - 3 \]

### Final Answer
Thus, the final answer is:
\[ 3m - 4n - 3mn - 3 \]