Solve -41/6+((-14/25)*-v/3)=-37/30

$$- 4 \frac { 1 } { 6 } + ( ( - \frac { 14 } { 25 } ) \times - \frac { v } { 3 } ) = - 3 \frac { 7 } { 30 }$$

Solve for v

$$v=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 150, the least common multiple of 6,25,3,30.

$$-25\left(4\times 6+1\right)-84\left(-\frac{v}{3}\right)=-5\left(3\times 30+7\right)$$

Multiply 4 and 6 to get 24.

$$-25\left(24+1\right)-84\left(-\frac{v}{3}\right)=-5\left(3\times 30+7\right)$$

Add 24 and 1 to get 25.

$$-25\times 25-84\left(-\frac{v}{3}\right)=-5\left(3\times 30+7\right)$$

Multiply -25 and 25 to get -625.

$$-625-84\left(-\frac{v}{3}\right)=-5\left(3\times 30+7\right)$$

Multiply -84 and -1 to get 84.

$$-625+84\times \frac{v}{3}=-5\left(3\times 30+7\right)$$

Multiply 3 and 30 to get 90.

$$-625+84\times \frac{v}{3}=-5\left(90+7\right)$$

Add 90 and 7 to get 97.

$$-625+84\times \frac{v}{3}=-5\times 97$$

Multiply -5 and 97 to get -485.

$$-625+84\times \frac{v}{3}=-485$$

Cancel out 3, the greatest common factor in 84 and 3.

$$-625+28v=-485$$

Add 625 to both sides.

$$28v=-485+625$$

Add -485 and 625 to get 140.

$$28v=140$$

Divide both sides by 28.

$$v=\frac{140}{28}$$

Divide 140 by 28 to get 5.

$$v=5$$