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E=(-a-b+c+d)-(d+c-b-2a)
E=-a-b+c+d-d-c+b+2a
E=-a+(-)b+c+d+(-d)+(-c)+b+2a
E=-a+(-b)+c+d+(-d)+(-c)+b+2a
E=(2a-a)+(-b+b)+(-d+d)+(-c+c)=a+0+0+0=a
A =(a+b-2c) -(-a+b+c) -(2a-b-c)
= a+b-2c+a-b-c-2a+b+c
= b-2c
B=-(2a-b+c) + (b-2c-3a) -(-5a-3c+b)
= -2a+b-c+b-2c-3a+5a+3c-b
= b-c
C=(3a-b-2c)-( 2b+3c-a) +(2a-3b)
= a-b-2c-2b-3c+a+2a-3b
= -6b-5c
D=(5a-3b+c) +( 2a-3b+5) -( b-c+a)
= 5a-3b+c+2a-3b+5-b+c-a
= 6a-7b+2c
\(A=\left(a+b-2c\right)-\left(-a+b+c\right)-\left(2a-b-c\right)\)
\(=a+b-2c+a-b-c-2a+b+c=b-2c\)
\(B=-\left(2a-b+c\right)+\left(b-2c-3a\right)-\left(-5a-3c+b\right)\)
\(=-2a+b-c+b-2c-3a+5a+3c-b=b\)
\(C=\left(3a-b-2c\right)-\left(2b+3c-a\right)+\left(2a-3b\right)\)
\(=3a-b-2c-2b-3c+a+2a-3b=6a-6b-5c\)
\(D=\left(5a-3b+c\right)+\left(2a-3b+5\right)-\left(b-c+a\right)\)
\(=5a-3b+c+2a-3b+5-b+c-a=6a-7b+2c\)
A=a(2b-c)-b(a+c)-(c+b)
=2ab-ac-ab-bc-c-b
=(2ab-ab)-ac-bc-c-d
=ab-ac-bc-c-b
B=(a+3b)(c-d)-(3a-d)(b+c)-2c(b-a)+2b(a+d)
=a.(c-d)+3b.(c-d)-3a.(b+c)+d.(b+c)-2bc+2ac+2ab+2bd
=ac-ad+3bc-3bd-3ab-3ac+bd+cd-2bc+2ac+2ab+2bd
=(-3ab+2ab)+(3bc-2bc)+(ac-3ac+2ac)-ad+(-3bd+bd+2bd)+cd
=-ab+bc-ad+cd
(2a-3b)-(5b-d)+(8b-d)
\(=2a-3b-5b+d+8b-d\)
\(=2a+\left(8b-3b-5b\right)+\left(d-d\right)\)
=2a
\(\left(a+b\right)-\left(d-4b\right)-\left(c-10d\right)\)
\(=a+b-d+4b-c+10d\)
\(=a+5b+11d-c\)