\(a.\left(a+b\right)-\left(-c+a+b\right)=a+b+c-a-b\)
\(=\left(a-a\right)+\left(b-b\right)+c=0+0+c=c\)
\(b.-\left(x+y\right)+\left(-z+x+y\right)=-x-y-z+x+y\)
\(=\left(-x+x\right)+\left(-y+y\right)-z=0+0-z=-z\)
a) \(\left(a+b\right)-\left(-c+a+b\right)\)
\(=a+b+c-a-b\)
\(=\left(a-a\right)+\left(b-b\right)+c\)
\(=c\)
b) \(-\left(x+y\right)+\left(-z+x+y\right)\)
\(=-x-y-z+x+y\)
\(=\left(-x+x\right)-\left(-y+y\right)-z\)
\(=-z\)
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