Question: Distribute to create an equivalent expression with the fewest symbols possible.
$$(6e - 3f - 4) \cdot 2 =$$
1. **State the problem:**
Distribute the multiplication over the terms inside the parentheses in the expression $$(6e - 3f - 4) \cdot 2$$ to create an equivalent expression with the fewest symbols possible.
2. **Recall the distributive property:**
The distributive property states that $$a(b + c) = ab + ac$$. This means we multiply each term inside the parentheses by the factor outside.
3. **Apply the distributive property:**
$$ (6e - 3f - 4) \cdot 2 = 6e \cdot 2 - 3f \cdot 2 - 4 \cdot 2 $$
4. **Multiply each term:**
$$ 6e \cdot 2 = 12e $$
$$ -3f \cdot 2 = -6f $$
$$ -4 \cdot 2 = -8 $$
5. **Write the expanded expression:**
$$ 12e - 6f - 8 $$
6. **Check if it can be simplified further:**
There are no like terms to combine, so this is the simplest form.
**Final answer:**
$$ 12e - 6f - 8 $$