Question

(\frac{2}{5}q = 12 - \frac{4}{5}q)

Explanation:

Step1: Combine like terms

Add $\frac{4}{5}q$ to both sides
$\frac{2}{5}q + \frac{4}{5}q = 12$

Step2: Simplify left side

Sum the fractions
$\frac{6}{5}q = 12$

Step3: Isolate q

Multiply both sides by $\frac{5}{6}$
$q = 12 \times \frac{5}{6}$

Step4: Calculate the product

Simplify the multiplication
$q = 10$

Answer:

$q = 10$