Solve 7v+8/3-3v-9/4=16

$$\frac { 7 v + 8 } { 3 } - \frac { 3 v - 9 } { 4 } = 16$$

Solve for v

$$v=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(7v+8\right)-3\left(3v-9\right)=192$$

Use the distributive property to multiply 4 by 7v+8.

$$28v+32-3\left(3v-9\right)=192$$

Use the distributive property to multiply -3 by 3v-9.

$$28v+32-9v+27=192$$

Combine 28v and -9v to get 19v.

$$19v+32+27=192$$

Add 32 and 27 to get 59.

$$19v+59=192$$

Subtract 59 from both sides.

$$19v=192-59$$

Subtract 59 from 192 to get 133.

$$19v=133$$

Divide both sides by 19.

$$v=\frac{133}{19}$$

Divide 133 by 19 to get 7.

$$v=7$$