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\frac{3}{2}\sqrt{2}+\frac{3}{2}\left(-1\right)-\left(\sqrt{2}-1\right)
Use the distributive property to multiply \frac{3}{2} by \sqrt{2}-1.
\frac{3}{2}\sqrt{2}-\frac{3}{2}-\left(\sqrt{2}-1\right)
Multiply \frac{3}{2} and -1 to get -\frac{3}{2}.
\frac{3}{2}\sqrt{2}-\frac{3}{2}-\sqrt{2}-\left(-1\right)
To find the opposite of \sqrt{2}-1, find the opposite of each term.
\frac{1}{2}\sqrt{2}-\frac{3}{2}-\left(-1\right)
Combine \frac{3}{2}\sqrt{2} and -\sqrt{2} to get \frac{1}{2}\sqrt{2}.
\frac{1}{2}\sqrt{2}-\frac{3}{2}+1
The opposite of -1 is 1.
\frac{1}{2}\sqrt{2}-\frac{3}{2}+\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
\frac{1}{2}\sqrt{2}+\frac{-3+2}{2}
Since -\frac{3}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.
\frac{1}{2}\sqrt{2}-\frac{1}{2}
Add -3 and 2 to get -1.