Question

solve the equation 8n-(-2)/7 =6 n=???

Answer 1

I'm assuming that this is \[\Large 8n - \frac{-2}{7} = 6\] correct?

Answer 2

sorry no the 8n-(-2) are on top together and the seven is on the bottom

Answer 3

so it's

\[\Large \frac{8n - (-2)}{7} = 6\]

right?

Answer 4

yes

Answer 5

Ok any ideas on the first step?

Answer 6

nooope haha

Answer 7

How about we rewrite that -(-2) as +2.

We can do this because subtracting a negative is just like adding

So

\[\Large \frac{8n - (-2)}{7} = 6\]

becomes

\[\Large \frac{8n +2}{7} = 6\]

Answer 8

Next, notice how we're dividing by 7 on the left side.

We want to move this 7 over to isolate n. So we have to undo this by doing the opposite

What is the opposite of dividing by 7?

Answer 9

multiplying?

Answer 10

good, multiplying by what?

Answer 11

7 or -7?

Answer 12

positive 7

Answer 13

Because the 7 in the denominator is positive

Answer 14

So multiply both sides by 7

If you multiply the left side by 7, the 7 in the denominator will cancel.

This will leave you with 8n+2 on the left side

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Then multiply the right side by 7 to balance things out to get 7*6 = 42

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So

\[\Large \frac{8n+2}{7} = 6\]

becomes

\[\Large 8n+2 = 42\]

Answer 15

now your goal is to solve 8n+2 = 42

Answer 16

5?

Answer 17

you nailed it

Answer 18

Thanks you really are helping me alot haha

Answer 19

lol I'm very glad I am