How do you solve #-7n - 2n = 5+ 1- n - 7n#?

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Answer 1 · 2017-10-25T19:32:22

#n=-6#

I'll try to do it step by step

#-7n-2n=5+1-n-7n#

adding the #n#'s and the numbers in each side

#-9n=6-8n#

the #-8n# goes to the other side as #+8n#

#-9n+8n=6#

then we add the #n#'s in the left hand side

#-n = 6#

multiplying in both sides by #(-1)#

#(-1)·(-n)=(-1)·6#

and finally

#n=-6#

To prove we are right we change #n# into #-6# in the original ecuation.

#(-7)·(-6) - 2·(-6) =5+1 -(-6)-7·(-6)#

and we get # 36+12=6+6+36# #=># #48=48 #

Since we get the equalty is true, the answer is correct.