To simplify the expression $2(6 - 2z)$, distribute the $2$ to both terms inside the parentheses:

$2(6 - 2z) = 2 \cdot 6 - 2 \cdot 2z$

Now, calculate each term:

$2 \cdot 6 = 12$ $2 \cdot 2z = 4z$

So, the expression simplifies to:

$12 - 4z$

Would you like further details or have any questions?

Here are 5 related questions to consider:

1. How would you simplify $3(4 - 5x)$?
2. What is the result of multiplying $(7 - 3y)$ by $-2$?
3. How do you factor the expression $12 - 4z$?
4. What happens when you distribute a negative number, e.g., $-3(2 - z)$?
5. How do you simplify an expression like $2(6 - z)$ if $z = 3$?

Tip: When simplifying expressions, carefully distribute multiplication across all terms inside parentheses to avoid mistakes.