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

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

Hence, final answer is $\frac{7-9n}{7}$ or $1 -\frac{9n}{7}$.