Verified Answer :

[ (12 - n)/7 ] = -1

12- n = -7

-n = -19

n = 19

\(\frac{12-n}{7} = - 1\)
Multiply cross
\(12-n = 7*(-1)\)
\(12-n = -7\)
Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.
\(-n = -7-12\)
\(-n=-19\) simplify by (-1)
\(\boxed{n = 19}\)

Confirm that the solution is correct:

\(\frac{12-n}{7} = - 1\)
\(\frac{12-19}{7} = - 1\)
\(\frac{-7}{7} = - 1\)
\(\boxed{-1=-1}(TRUE)\)

Answer:
\(\boxed{n = 19}\)