use the distributive property to combine like terms and simplify the expression 2(2z+4)-2(3z+10)

Answer 1

To begin, let's simplify each term within the parentheses:

2(2z+4) simplifies to 4z+8.

-2(3z+10) simplifies to -6z-20.

Now, let's apply the distributive property to combine these simplified terms:

4z+8 - 6z - 20

Next, let's combine like terms by adding or subtracting coefficients:

(4z - 6z) + (8 - 20)

4z - 6z simplifies to -2z, and 8 - 20 simplifies to -12.

Therefore, the final simplified expression is:

-2z - 12.