How do you solve #–(14n – 8) = – (9n – 8) – 5n#?

2 Answers
Aug 3, 2017

See a solution process below:

Explanation:

First, remove terms from their parenthesis being careful to manage the signs correctly.

#-14n 8 = -9n + 8 - 5n#

Now, group and combine like terms on the right side of the equation:

#-14n 8 = -9n - 5n + 8#

#-14n 8 = (-9 - 5)n + 8#

#-14n 8 = -14n + 8#

Because both sides of the equation are exactly the same #n# can be any real number. Therefore the solution to this problem is #n# is the set of all Real Numbers or #n = {RR}#

Aug 9, 2017

#n# #=# #RR#, where #RR# is any real number.

Explanation:

#-(14n-8)# #=# #-(9n-8)-5n#

#=># #-14n+8# #=# #-9n+8-5n#

#=># #-14n+8# #=# #-9n-5n+8#

#=># #-14n+8# #=# #-14n+8#

#=># Since the equation is same on the both sides, the value of #n# can be any real number.

#n# #=# #RR#