Question

solve for a. express your answer as a proper or improper fraction in simplest terms.
\\(\frac{4}{7}a - \frac{2}{3} = -\frac{1}{3}\\)

Explanation:

Step1: Isolate the term with $a$

Add $\frac{2}{3}$ to both sides.
$$\frac{4}{7}a - \frac{2}{3} + \frac{2}{3} = -\frac{1}{3} + \frac{2}{3}$$
$$\frac{4}{7}a = \frac{1}{3}$$

Step2: Solve for $a$

Multiply both sides by $\frac{7}{4}$.
$$a = \frac{1}{3} \times \frac{7}{4}$$

Answer:

$\frac{7}{12}$