What is the answer to 7/3 (1/2 v-10/3)=-35/3-1/2 v ?

The answer to 7/3 (1/2 v-10/3)=-35/3-1/2 v is v=-7/3

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7/3 (1/2 v-10/3)=-35/3-1/2 v

\frac{7}{3} (\frac{1}{2} v - \frac{10}{3}) = - \frac{35}{3} - \frac{1}{2} v

v = - \frac{7}{3}

Decimal Notation

v = - 2.33333 \dots

Solution steps

\frac{7}{3} (\frac{1}{2} v - \frac{10}{3}) = - \frac{35}{3} - \frac{1}{2} v

Expand

\frac{7}{3} (\frac{1}{2} v - \frac{10}{3}) : \frac{7}{6} v - \frac{70}{9}

\frac{7}{6} v - \frac{70}{9} = - \frac{35}{3} - \frac{1}{2} v

Move

\frac{70}{9}

to the right side

\frac{7}{6} v = - \frac{35}{9} - \frac{1}{2} v

Move

\frac{1}{2} v

to the left side

\frac{5}{3} v = - \frac{35}{9}

Multiply both sides by

3

5 v = - \frac{35}{3}

Divide both sides by

5

v = - \frac{7}{3}

5 (x - 2)^{2} + 6 = 86

6 a^{2} - 11 a + 4

x^{2} + 7 x + 11 = 0

3^{x} \cdot 2^{x}

x z^{3} \times 4 x^{4} z^{5}

What is the answer to 7/3 (1/2 v-10/3)=-35/3-1/2 v ?
The answer to 7/3 (1/2 v-10/3)=-35/3-1/2 v is v=-7/3
Solve for v: 7/3 (1/2 v-10/3)=-35/3-1/2 v
The solution is v=-7/3