Subtract :
`-6p + q + 3r + 8" from "p - 2q - 5r - 8`

Answer

To solve the problem of subtracting the expression \(-6p + q + 3r + 8\) from \(p - 2q - 5r - 8\), we will follow these steps:

### Step 1: Write the expressions
We start with the two expressions:
- Expression 1: \(p - 2q - 5r - 8\)
- Expression 2: \(-6p + q + 3r + 8\)

### Step 2: Set up the subtraction
We need to subtract Expression 2 from Expression 1:
\[ p - 2q - 5r - 8 - (-6p + q + 3r + 8) \]

### Step 3: Distribute the negative sign
When we subtract an expression, we distribute the negative sign to each term in Expression 2:
\[ p - 2q - 5r - 8 + 6p - q - 3r - 8 \]

### Step 4: Combine like terms
Now we will combine the like terms:
1. Combine the \(p\) terms:
\[ p + 6p = 7p \]
2. Combine the \(q\) terms:
\[ -2q - q = -3q \]
3. Combine the \(r\) terms:
\[ -5r - 3r = -8r \]
4. Combine the constant terms:
\[ -8 - 8 = -16 \]

### Step 5: Write the final expression
Putting it all together, we have:
\[ 7p - 3q - 8r - 16 \]

### Final Answer:
The result of subtracting \(-6p + q + 3r + 8\) from \(p - 2q - 5r - 8\) is:
\[ 7p - 3q - 8r - 16 \]

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