Final answer:
To subtract (-2z^2 - 14) - (-12z^2), distribute the negative sign to the terms inside the parentheses, and then combine like terms.
Step-by-step explanation:
To subtract (-2z^2 - 14) - (-12z^2), we need to distribute the negative sign to the terms inside the parentheses. This gives us -2z^2 - 14 + 12z^2.
Now, we can combine like terms by adding the coefficients of the like terms.
So, (-2z^2 + 12z^2) - 14 gives us 10z^2 - 14.
Therefore, the final answer is 10z^2 - 14.