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2a+c-d=19+b
Add b to both sides.
2a-d=19+b-c
Subtract c from both sides.
2a=19+b-c+d
Add d to both sides.
2a=b-c+d+19
The equation is in standard form.
\frac{2a}{2}=\frac{b-c+d+19}{2}
Divide both sides by 2.
a=\frac{b-c+d+19}{2}
Dividing by 2 undoes the multiplication by 2.
-b+c-d=19-2a
Subtract 2a from both sides.
-b-d=19-2a-c
Subtract c from both sides.
-b=19-2a-c+d
Add d to both sides.
-b=19+d-c-2a
The equation is in standard form.
\frac{-b}{-1}=\frac{19+d-c-2a}{-1}
Divide both sides by -1.
b=\frac{19+d-c-2a}{-1}
Dividing by -1 undoes the multiplication by -1.
b=2a+c-d-19
Divide 19-2a-c+d by -1.