a, $( a + b - c ) + ( b + c - a ) + ( a + c - b )$
$=a+b-c+a+b-c+a+c-b$
$=3a+b$
b, $( 2a - b + c ) + ( b - c + a ) + ( c - 2a + b )$
$=2a-b+c+b-c+a+a-2a+b$
$=2a+b$
c, $( a - b ) + ( b - c + a ) + ( c - b )$
$=a-b+b-c+a+c-b$
$=a-b$
d, $( a - c + b ) + ( b - c - a ) - a - b - c$
$=a-c+b+b-c-a-a-b-c$
$=-3c+b$