Question

6(z-2)+4=10

I will give out medals to the person with the best answer! c:

Answer 1

Let's first work on your Distributive Property. Expand and remove those parentheses. Go!

Answer 2

6z-12+4=10?

Is that right? @tkhunny

Answer 3

Excellent. Now, combine like terms on the left-hand side.

Answer 4

6z-16=10? @tkhunny

Answer 5

No good. -12 + 4 = -8

6z - 8 = 10

Answer 6

Okay, but I thought combining like terms would be 12+4 and that would be 16. What am I missing here then that I don't understand?

Answer 7

One must consider the sign at all times. If you get 16, where did the "-" go? It seems magically to have vanished.

If it were just -12 + 4, would you still get -16?

Answer 8

Oh, I see where you are coming from now, but -12+4=-8, so no.

Answer 9

So now all I got do is this:

6z-8=10
+8 +8
6z 18

6z/6=6 18/6=3

So that means that the answer is 3?

Answer 10

Good.

-12 + 4 = -8

SO...

6z - 12 + 4 = 6z - 8

Looks good. Check it out in the ORIGINAL equation.

Answer 11

Alright, it works. Thank you for your services and here is your medal like I promised! :)