3 What is the solution to $$ 2+3(2 a+1)-3(a+2) $$ ? 1) $$ \frac{1}{7} $$ 2) $$ \frac{1}{3} $$ 3) $$ -\frac{3}{7} $$

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 2 + 3(2a + 1) - 3(a + 2) = 0 $$ for $$ a $$, follow these steps:

1. **Expand the parentheses:**
   $$
   2 + 3 \times 2a + 3 \times 1 - 3 \times a - 3 \times 2
   $$
   $$
   2 + 6a + 3 - 3a - 6
   $$

2. **Combine like terms:**
   $$
   (6a - 3a) + (2 + 3 - 6)
   $$
   $$
   3a - 1
   $$

3. **Set the equation to zero and solve for $$ a $$:**
   $$
   3a - 1 = 0
   $$
   $$
   3a = 1
   $$
   $$
   a = \frac{1}{3}
   $$

**Answer:**  
2) $$ \frac{1}{3} $$
$$ a = \frac{1}{3} $$

3 What is the solution to ?