Find the value of the following.
`2lm + 61 - 5m-n` for l = 5, m = 2, n = -2

Answer

To find the value of the expression \( 2lm + 61 - 5m - n \) for \( l = 5 \), \( m = 2 \), and \( n = -2 \), we will follow these steps:

### Step 1: Substitute the values of \( l \), \( m \), and \( n \) into the expression.
The expression is:
\[ 2lm + 61 - 5m - n \]
Substituting the values:
\[ 2(5)(2) + 61 - 5(2) - (-2) \]

### Step 2: Calculate \( 2lm \).
Calculating \( 2(5)(2) \):
\[ 2 \times 5 = 10 \]
\[ 10 \times 2 = 20 \]
So, \( 2lm = 20 \).

### Step 3: Calculate \( -5m \).
Calculating \( -5(2) \):
\[ -5 \times 2 = -10 \]

### Step 4: Simplify the expression.
Now we can rewrite the expression with the calculated values:
\[ 20 + 61 - 10 - (-2) \]

### Step 5: Simplify \( -(-2) \).
Since subtracting a negative number is the same as adding:
\[ -(-2) = +2 \]
So, we can rewrite the expression as:
\[ 20 + 61 - 10 + 2 \]

### Step 6: Perform the addition and subtraction.
Now, calculate step by step:
1. \( 20 + 61 = 81 \)
2. \( 81 - 10 = 71 \)
3. \( 71 + 2 = 73 \)

### Final Answer:
Thus, the value of the expression is:
\[ \boxed{73} \]