$$ \left.\begin{array}{l} ext { Fill in all missing terms and select all missing descriptions. Simplify } \ \qquad \begin{array}{rl}4(-4 p-12) & =-16 \ -16 p-48 & =-16\end{array} \ -16 p=\square \ p=\square \ ext { Add } 48 ext { to both sides } \ ext { Divide both sides by }-16\end{array} ight] $$.

Question

$$ \left.\begin{array}{l}	ext { Fill in all missing terms and select all missing descriptions. Simplify } \ \qquad \begin{array}{rl}4(-4 p-12) & =-16 \ -16 p-48 & =-16\end{array} \ -16 p=\square \ p=\square \ 	ext { Add } 48 	ext { to both sides } \ 	ext { Divide both sides by }-16\end{array}ight] $$.

UpStudy AI · Accepted Answer

Let's solve the equations step by step and fill in the missing terms and descriptions.

1. **First Equation:**
   $$
   4(-4p - 12) = -16
   $$
   We can simplify the left side:
   $$
   4 \cdot -4p + 4 \cdot -12 = -16
   $$
   This gives us:
   $$
   -16p - 48 = -16
   $$

2. **Second Equation:**
   $$
   -16p - 48 = -16
   $$
   Now, we need to isolate $$ p $$. We can add $$ 48 $$ to both sides:
   $$
   -16p - 48 + 48 = -16 + 48
   $$
   This simplifies to:
   $$
   -16p = 32
   $$

3. **Solving for $$ p $$:**
   Now, we divide both sides by $$ -16 $$:
   $$
   p = \frac{32}{-16}
   $$
   This simplifies to:
   $$
   p = -2
   $$

Now, let's fill in the missing terms and descriptions:

- For $$ -16p = \square $$, the missing term is $$ 32 $$.
- For $$ p = \square $$, the missing term is $$ -2 $$.

The descriptions are:
- "Add $$ 48 $$ to both sides" (this is already provided).
- "Divide both sides by $$ -16 $$" (this is also provided).

Thus, the completed statements are:
- $$ -16p = 32 $$
- $$ p = -2 $$

The final answer is:
- $$ -16p = 32 $$
- $$ p = -2 $$
-16p = 32 p = -2

.

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