Question

solve for u.
\\(\frac{3}{2}u - \frac{7}{9} = -\frac{4}{3}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Add 7/9 to both sides

$\frac{3}{2}u - \frac{7}{9} + \frac{7}{9} = -\frac{4}{3} + \frac{7}{9}$
$\frac{3}{2}u = -\frac{12}{9} + \frac{7}{9}$

Step2: Simplify the right side

$\frac{3}{2}u = -\frac{5}{9}$

Step3: Multiply both sides by 2/3

$u = -\frac{5}{9} \times \frac{2}{3}$
$u = -\frac{10}{27}$

Answer:

$-\frac{10}{27}$