Solve -5/9-2/3v=-2/3

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

Solve for v

$$v=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Add \frac{5}{9} to both sides.

$$-\frac{2}{3}v=-\frac{2}{3}+\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{2}{3} and \frac{5}{9} to fractions with denominator 9.

$$-\frac{2}{3}v=-\frac{6}{9}+\frac{5}{9}$$

Since -\frac{6}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$-\frac{2}{3}v=\frac{-6+5}{9}$$

Add -6 and 5 to get -1.

$$-\frac{2}{3}v=-\frac{1}{9}$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$v=-\frac{1}{9}\left(-\frac{3}{2}\right)$$

Multiply -\frac{1}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{-\left(-3\right)}{9\times 2}$$

Do the multiplications in the fraction \frac{-\left(-3\right)}{9\times 2}.

$$v=\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$v=\frac{1}{6}$$