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\[
-\frac{1}{5} a+\frac{1}{3}=-\frac{1}{2}
\]

Answer

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Answer

\(\boxed{a = \frac{5}{6}}\)

Steps

Step 1 ：\( -\frac{1}{3} = \frac{1}{5}a - \frac{1}{2} \) Add \(\frac{1}{5}a\) to both sides

Step 2 ：\( \frac{1}{6} = \frac{1}{5}a \) Add \(\frac{1}{2}\) to both sides

Step 3 ：\( a = \frac{5}{6} \) Multiply by 5

Step 4 ：\(\boxed{a = \frac{5}{6}}\)