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