Find the value of the expressions, when `p= -3, q= -1" and "r= 2`
`2p-5q-8+3r`

Answer

To find the value of the expression \(2p - 5q - 8 + 3r\) when \(p = -3\), \(q = -1\), and \(r = 2\), we will substitute the values of \(p\), \(q\), and \(r\) into the expression and simplify step by step.

### Step-by-Step Solution:

1. **Write the expression**:
\[ 2p - 5q - 8 + 3r \]

2. **Substitute the values of \(p\), \(q\), and \(r\)**:
\[ 2(-3) - 5(-1) - 8 + 3(2) \]

3. **Calculate each term**:
- For \(2(-3)\):
\[ 2 \times -3 = -6 \]
- For \(-5(-1)\):
\[ -5 \times -1 = 5 \quad (\text{since a negative times a negative is positive}) \]
- For \(-8\):
\[ -8 \quad (\text{remains the same}) \]
- For \(3(2)\):
\[ 3 \times 2 = 6 \]

4. **Combine the results**:
\[ -6 + 5 - 8 + 6 \]

5. **Perform the addition and subtraction step by step**:
- First, combine \(-6\) and \(5\):
\[ -6 + 5 = -1 \]
- Next, add \(-1\) and \(-8\):
\[ -1 - 8 = -9 \]
- Finally, add \(-9\) and \(6\):
\[ -9 + 6 = -3 \]

6. **Final result**:
\[ \text{The value of the expression is } -3. \]