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Solve for a
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Solve for b
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a+c+d=d-b
Subtract b from both sides.
a+d=d-b-c
Subtract c from both sides.
a=d-b-c-d
Subtract d from both sides.
a=-b-c
Combine d and -d to get 0.
b+c+d=d-a
Subtract a from both sides.
b+d=d-a-c
Subtract c from both sides.
b=d-a-c-d
Subtract d from both sides.
b=-a-c
Combine d and -d to get 0.