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\frac{3}{2}a^{2}-6a-\frac{5}{2}\left(\frac{4}{25}a-\frac{1}{5}a^{2}\right)
Use the distributive property to multiply 4 by \frac{3}{8}a^{2}-\frac{3}{2}a.
\frac{3}{2}a^{2}-6a-\frac{2}{5}a+\frac{1}{2}a^{2}
Use the distributive property to multiply -\frac{5}{2} by \frac{4}{25}a-\frac{1}{5}a^{2}.
\frac{3}{2}a^{2}-\frac{32}{5}a+\frac{1}{2}a^{2}
Combine -6a and -\frac{2}{5}a to get -\frac{32}{5}a.
2a^{2}-\frac{32}{5}a
Combine \frac{3}{2}a^{2} and \frac{1}{2}a^{2} to get 2a^{2}.
\frac{3}{2}a^{2}-6a-\frac{5}{2}\left(\frac{4}{25}a-\frac{1}{5}a^{2}\right)
Use the distributive property to multiply 4 by \frac{3}{8}a^{2}-\frac{3}{2}a.
\frac{3}{2}a^{2}-6a-\frac{2}{5}a+\frac{1}{2}a^{2}
Use the distributive property to multiply -\frac{5}{2} by \frac{4}{25}a-\frac{1}{5}a^{2}.
\frac{3}{2}a^{2}-\frac{32}{5}a+\frac{1}{2}a^{2}
Combine -6a and -\frac{2}{5}a to get -\frac{32}{5}a.
2a^{2}-\frac{32}{5}a
Combine \frac{3}{2}a^{2} and \frac{1}{2}a^{2} to get 2a^{2}.