How could you correctly rewrite the equation 4 (5+3) = 2 (22-6) using the distributive property?

Distributive property is taking the number in front of the parentheses and multiplying every term in the parentheses by the number.

So in 4 (5 + 3),

Multiply 5 and + 3 by 4.

4 * 5

20

4 * 3

12

20+12

32

For the second equation do the same thing. Multiply 22 and - 6 by 2.

22 * 2

44

-6 * 2

-12

44 + - 12

32

32 = 32