#### Answer

$12x+10y+4z$

#### Work Step by Step

To find a product using the distributive property, you take the coefficent--in this case the 2 outside of the parentheses--and multiply it by each term within the parentheses separately.
The first term within the parentheses is $6x$, so the first term of the product is $2\times6x$, or $12x$.
The second term within the parentheses is $5y$, so the second term of the product is $2\times5y$, or $10y$.
The third term within the parentheses is $2z$, so the third term of the product is $2\times2z$, or $4z$.
The terms within the parentheses are connected by plus signs, so the terms within the product will be too.
The final product after distributing the 2, therefore, is $12x+10y+4z$.