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2a=100cm-2b
Subtract 2b from both sides.
\frac{2a}{2}=\frac{100cm-2b}{2}
Divide both sides by 2.
a=\frac{100cm-2b}{2}
Dividing by 2 undoes the multiplication by 2.
a=50cm-b
Divide 100cm-2b by 2.
2b=100cm-2a
Subtract 2a from both sides.
\frac{2b}{2}=\frac{100cm-2a}{2}
Divide both sides by 2.
b=\frac{100cm-2a}{2}
Dividing by 2 undoes the multiplication by 2.
b=50cm-a
Divide 100cm-2a by 2.