What is the answer to 8/9 (1/2 v-18)+2v= 2/3 v ?

The answer to 8/9 (1/2 v-18)+2v= 2/3 v is v=9

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8/9 (1/2 v-18)+2v= 2/3 v

\frac{8}{9} (\frac{1}{2} v - 18) + 2 v = \frac{2}{3} v

v = 9

Solution steps

\frac{8}{9} (\frac{1}{2} v - 18) + 2 v = \frac{2}{3} v

Expand

\frac{8}{9} (\frac{1}{2} v - 18) + 2 v : \frac{22 v}{9} - 16

\frac{22 v}{9} - 16 = \frac{2}{3} v

Move

16

to the right side

\frac{22 v}{9} = \frac{2}{3} v + 16

Multiply by LCM

22 v = 6 v + 144

Move

6 v

to the left side

16 v = 144

Divide both sides by

16

v = 9

x, 2 x - 9 y = 18

7 - x = 3

4 (x - 9) - \frac{1}{2} (x - 9) = 21

x - 4 \frac{2}{3} = \frac{1}{3}

a, y = a e^{x} + b e^{3 x}

What is the answer to 8/9 (1/2 v-18)+2v= 2/3 v ?
The answer to 8/9 (1/2 v-18)+2v= 2/3 v is v=9
Solve for v: 8/9 (1/2 v-18)+2v= 2/3 v
The solution is v=9