State whether the following equations are true for the given values of the variables.
`p-17= -33` for `p=-16`

Answer

To determine whether the equation \( p - 17 = -33 \) is true for \( p = -16 \), we will follow these steps:

### Step 1: Write down the equation
The given equation is:
\[ p - 17 = -33 \]

### Step 2: Substitute the value of \( p \)
We need to substitute \( p = -16 \) into the equation:
\[ -16 - 17 = -33 \]

### Step 3: Perform the calculation on the left-hand side (LHS)
Now, we calculate the left-hand side:
\[ -16 - 17 = -33 \]
Calculating this gives:
\[ -16 - 17 = -33 \]

### Step 4: Compare LHS with right-hand side (RHS)
Now we compare the left-hand side with the right-hand side:
\[ LHS = -33 \quad \text{and} \quad RHS = -33 \]

### Step 5: State whether the equation is true or false
Since the left-hand side is equal to the right-hand side, we conclude:
\[ \text{The equation is true for } p = -16. \]

### Summary of the Solution
The equation \( p - 17 = -33 \) is true when \( p = -16 \).

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