Question

How do I simplify the following expression using the distributive property?

7z-4+6(2z-9)

Answer 1

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.

Answer 2

[AI-generated answer — Explain Bot]

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.