Combine like terms to simplify the expression $$ -2[-2(6.5 n+5 n)] $$

Question

UpStudy AI · Accepted Answer

Let's simplify the expression step by step:

$$
-2[-2(6.5n + 5n)]
$$

1. **Combine like terms inside the parentheses:**
   $$
   6.5n + 5n = 11.5n
   $$
   
   Now the expression becomes:
   $$
   -2[-2(11.5n)]
   $$

2. **Multiply the inner terms:**
   $$
   -2 \times 11.5n = -23n
   $$
   
   So the expression is now:
   $$
   -2[-23n]
   $$

3. **Multiply the outer terms:**
   $$
   -2 \times (-23n) = 46n
   $$

**Final Simplified Expression:**
$$
46n
$$
The simplified expression is $$ 46n $$.

Combine like terms to simplify the expression \( -2[-2(6.5 n+5 n)] \)