Solve 7v+6/6-9v+9/7=-1

$$\frac { 7 v + 6 } { 6 } - \frac { 9 v + 9 } { 7 } = - 1$$

Solve for v

$$v=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7.

$$7\left(7v+6\right)-6\left(9v+9\right)=-42$$

Use the distributive property to multiply 7 by 7v+6.

$$49v+42-6\left(9v+9\right)=-42$$

Use the distributive property to multiply -6 by 9v+9.

$$49v+42-54v-54=-42$$

Combine 49v and -54v to get -5v.

$$-5v+42-54=-42$$

Subtract 54 from 42 to get -12.

$$-5v-12=-42$$

Add 12 to both sides.

$$-5v=-42+12$$

Add -42 and 12 to get -30.

$$-5v=-30$$

Divide both sides by -5.

$$v=\frac{-30}{-5}$$

Divide -30 by -5 to get 6.

$$v=6$$