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

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Answer

$a = \frac{5}{6}$

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 ： $a = \frac{5}{6}$