Use the Distributive Property to combine like terms and simplify the expression.
2 left parenthesis 2z plus 4 right parenthesis minus 2 left parenthesis 3z plus 10 right parenthesis
(1 point)
Responses
Negative 14z
Image with alt text: Negative 14z
Negative 2z minus 12
Image with alt text: Negative 2z minus 12
Negative 2z plus 28
Image with alt text: Negative 2z plus 28
Negative 2z plus 14
To simplify the expression using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.
First, we distribute the 2 to the terms inside the first parentheses: 2 * 2z = 4z and 2 * 4 = 8.
Then, we distribute the -2 to the terms inside the second parentheses: -2 * 3z = -6z and -2 * 10 = -20.
The simplified expression is: 4z + 8 - 6z - 20.
Combining like terms, we have: (4z - 6z) + (8 - 20) = -2z - 12.
Therefore, the correct answer is Negative 2z minus 12.