Is it impossible to check that 4(n + 2) = 4n + 8 for every value of n? How do you know that this equation is true for any value of n? NEED HELP FOR TEST

Okay I'll try to answer this from what you're trying to ask:) and good luck on your test!

Step-by-step explanation:

So to check that 4(n-2) is equal to 4n+8, you would do the distributive property. Now the distributive property is when you take the number outside of the parentheses (in this case 4) and multipy it by what is inside the parentheses (n and 2). With that, you'll get 4 times n which is 4n and 4 times 2 which is 8, combine them and voila! MAKE SURE YOU LOOK AT THE SIGN INSIDE OF THE PARENTHESES

4(n+2)

=4*n + 2*4

=4n+8

Here's another example

3(n-5)

=3*n - 3*5

=3n-15

Hope that helps:)