Answer
$w =\frac{225}{14}$.
Work Step by Step
The given expression is
$\frac{2}{9}w-3=\frac{4}{7}$
Add $3$ to both sides.
$\frac{2}{9}w-3+3=\frac{4}{7}+3$
Simplify.
$\frac{2}{9}w=\frac{4}{7}+3$
Get like denominators on the right hand side.
$\frac{2}{9}w=\frac{4}{7}+\frac{21}{7}$
Add the numerators on the right hand side.
$\frac{2}{9}w=\frac{25}{7}$
Multiply by the LCD $=63$.
$63\left ( \frac{2}{9}w \right )=63\left ( \frac{25}{7}\right )$
Simplify.
$14w =225$
Divide both sides by $14$.
$\frac{14w}{14} =\frac{225}{14}$
Simplify.
$w =\frac{225}{14}$.
