To rewrite ( 2(n + 2n) ) using the distributive property, you distribute the 2 across the terms inside the parentheses. This gives you ( 2 \cdot n + 2 \cdot 2n ), which simplifies to ( 2n + 4n ). Finally, you can combine like terms to get ( 6n ). Thus, ( 2(n + 2n) = 6n ).
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