How do you solve #-4( - 8- 2n ) - 5n = 7n + 16#?

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Answer 1 · 2018-01-15T23:03:49

#n = 4#

1) Expand the bracket

#-8 * (-4) = 32#

#-4 * (-2n) = 8n#

#32 + 8n - 5n = 7n + 16#

2) Solve the equation

#32 + 8n - 5n = 7n + 16#

#32 + 3n = 7n + 16#

#32 - 16 + 3n = 7n + 16 - 16#

#16 + 3n = 7n#

#16 + 3n -3n = 7n - 3n#

#16 = 4n#

#n = 16/4#

#n = 4#