Question

1/7-3(3/7n-2/7) in simplest form

Answer 1

1/7 -3(3/7n -2/7)
=1/7 -9/7n +6/7
=(n-9+6n) /7n
=(7n-9) /7n
=1-9/7n

Answer 2

1/7-3(3/7n-2/7) in simplest form

`(1)/(7) -3((3)/(7)n-(2)/(7)) \\\\ Using \;Distributive \;property \\\\ =(1)/(7) -(3)(3)/(7)n-(-3)(2)/(7) \\\\ Multiplication \\\\ =(1)/(7) -(3*3)/(7)n+(3*2)/(7) \\\\ =(1)/(7) -(9)/(7)n+(6)/(7) \\\\ Combining \;terms \;with \;common \;denominator \\\\ =(1-9n+6)/(7) \\\\ Combining \;like \;terms \\\\ =(7-9n)/(7) \\\\ Simplification \\\\ =(7)/(7) -(9n)/(7) \\\\ =1 -(9n)/(7)`

Hence, final answer is
`(7-9n)/(7)` or
`1 -(9n)/(7)`.