How do I simplify the following expression using the distributive property?
7z-4+6(2z-9)
Use PEMDAS for operations.
P-arentheis
E-xponents
M-ultiplication
D-ivision
A-ddition
S-ubtraction
So distribute the 6 first to 2z-9. And then combine like terms.
To simplify the expression using the distributive property, you need to distribute the coefficient outside the parentheses to each term inside the parentheses.
For the given expression, 7z - 4 + 6(2z - 9), you first distribute the 6 to each term inside the parentheses:
6 * 2z = 12z
6 * -9 = -54
The expression now becomes:
7z - 4 + 12z - 54
Next, you can combine like terms:
(7z + 12z) - 4 - 54
Adding the coefficients of the like terms gives:
19z - 4 - 54
Combining the constant terms gives:
19z - 58
Therefore, the simplified form of the expression 7z - 4 + 6(2z - 9) using the distributive property is 19z - 58.