Subjects algebra

Distribute Expression 9Cd586

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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:** $$ 12e - 6f - 8 $$