Question

-(6-8n)+6=2(9+3n) ?

Answer 1

n=9

Answer 2

how did u get that ?

Answer 3

mathway.com

Answer 4

thanks (:

Answer 5

n=9

Answer 6

hows did u guys got that ?

Answer 7

-(6-8n)+6=2(9+3n)

first step: just looking at the -(6-8n) which means
-1 * (6-8n)
distribute the -1, which means multiply each term inside the parens by -1

you should get -6 + -1*-8*N
which simplifies to -6 +8n

you now have
-6 +8n+6=2(9+3n)

on the right side distribute the 2 (i.e. multiply each term inside by 2)
you should get
-6 +8n +6 = 2*9 + 2*3*n

on the left side you have a -6 and a +6 which add up to zero
the left side simplifies to
8n = 18 +6n

now add -6n to both sides
8n - 6n = 18+6n -6n

Answer 8

why -1?

Answer 9

8n - 6n = 18+6n -6n

on the left you have 8 n's take away 6 n's
on the right you have 6 n's take away 6 n's

in other words,
2n = 18

last step: divide both sides by 2
(2/2) n = 18/2
simplify

Answer 10

***why -1? ***
are you asking about
-(6-8n)+6=2(9+3n)

we have to start somewheres, and the first thing we can tackle is
this part:
-(6-8n)

and we should remember that we can think of -6 (for example) as -1*6
or in this case
-(6-8n) is the same as -1*(6-8n)
we write it that way, so it's more clear that we "distribute" the -1
we multiply each thing inside the parens by -1:
-1*6 + -1*-8*n
and simplify

Answer 11

thanks (:

Answer 12

If you need more examples on how to do these problems see
http://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-and-the-distributive-property

Answer 13

ok (: thanks so much !