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\frac{15a^{2}}{2}-\frac{8a}{7}+4
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\frac{15a^{2}}{2}-\frac{8a}{7}+4
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\frac{15}{2}a^{2}+\frac{1}{6}a-1-\frac{1}{7}a+5-\left(a+\frac{1}{6}a\right)
Combine -\frac{1}{3}a and \frac{1}{2}a to get \frac{1}{6}a.
\frac{15}{2}a^{2}+\frac{1}{42}a-1+5-\left(a+\frac{1}{6}a\right)
Combine \frac{1}{6}a and -\frac{1}{7}a to get \frac{1}{42}a.
\frac{15}{2}a^{2}+\frac{1}{42}a+4-\left(a+\frac{1}{6}a\right)
Add -1 and 5 to get 4.
\frac{15}{2}a^{2}+\frac{1}{42}a+4-\frac{7}{6}a
Combine a and \frac{1}{6}a to get \frac{7}{6}a.
\frac{15}{2}a^{2}-\frac{8}{7}a+4
Combine \frac{1}{42}a and -\frac{7}{6}a to get -\frac{8}{7}a.
\frac{15}{2}a^{2}+\frac{1}{6}a-1-\frac{1}{7}a+5-\left(a+\frac{1}{6}a\right)
Combine -\frac{1}{3}a and \frac{1}{2}a to get \frac{1}{6}a.
\frac{15}{2}a^{2}+\frac{1}{42}a-1+5-\left(a+\frac{1}{6}a\right)
Combine \frac{1}{6}a and -\frac{1}{7}a to get \frac{1}{42}a.
\frac{15}{2}a^{2}+\frac{1}{42}a+4-\left(a+\frac{1}{6}a\right)
Add -1 and 5 to get 4.
\frac{15}{2}a^{2}+\frac{1}{42}a+4-\frac{7}{6}a
Combine a and \frac{1}{6}a to get \frac{7}{6}a.
\frac{15}{2}a^{2}-\frac{8}{7}a+4
Combine \frac{1}{42}a and -\frac{7}{6}a to get -\frac{8}{7}a.
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