Which answer choice is equivalent to the expression below? $$ -7(2+n)+\frac{1}{3}(-9-6 n) $$ $$ -17-9 n $$ $$ -14-12 n $$ $$ 11+5 n $$ $$ 14+2 n $$

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To determine which answer choice is equivalent to the expression $$ -7(2 + n) + \frac{1}{3}(-9 - 6n) $$, let's simplify the expression step by step.

1. **Distribute the $$-7$$ in the first term:**
   $$
   -7(2 + n) = -7 \times 2 + (-7) \times n = -14 - 7n
   $$

2. **Distribute the $$\frac{1}{3}$$ in the second term:**
   $$
   \frac{1}{3}(-9 - 6n) = \frac{1}{3} \times (-9) + \frac{1}{3} \times (-6n) = -3 - 2n
   $$

3. **Combine the two results:**
   $$
   -14 - 7n + (-3) - 2n = (-14 - 3) + (-7n - 2n) = -17 - 9n
   $$

So, the simplified expression is $$ -17 - 9n $$.

**Answer Choice:**
$$ \boxed{-17-9 n} $$
The equivalent expression is $$ -17 - 9n $$.

Which answer choice is equivalent to the expression below? \( -7(2+n)+\frac{1}{3}(-9-6 n) \) \( -17-9 n \) \( -14-12 n \) \( 11+5 n \) \( 14+2 n \)

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