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2m-2\sqrt{3}m=3\sqrt{3}
Multiply -1 and 2 to get -2.
\left(2-2\sqrt{3}\right)m=3\sqrt{3}
Combine all terms containing m.
\frac{\left(2-2\sqrt{3}\right)m}{2-2\sqrt{3}}=\frac{3\sqrt{3}}{2-2\sqrt{3}}
Divide both sides by 2-2\sqrt{3}.
m=\frac{3\sqrt{3}}{2-2\sqrt{3}}
Dividing by 2-2\sqrt{3} undoes the multiplication by 2-2\sqrt{3}.
m=\frac{-3\sqrt{3}-9}{4}
Divide 3\sqrt{3} by 2-2\sqrt{3}.