Solve (8v-5)+(6-7v)-1=7-(v-1)+(4v+4)

$$( 8 v - 5 ) + ( 6 - 7 v ) - 1 = 7 - ( v - 1 ) + ( 4 v + 4 )$$

Solve for v

$$v=-6$$

Steps for Solving Linear Equation

Add -5 and 6 to get 1.

$$8v+1-7v-1=7-\left(v-1\right)+4v+4$$

Combine 8v and -7v to get v.

$$v+1-1=7-\left(v-1\right)+4v+4$$

Subtract 1 from 1 to get 0.

$$v=7-\left(v-1\right)+4v+4$$

To find the opposite of v-1, find the opposite of each term.

$$v=7-v-\left(-1\right)+4v+4$$

The opposite of -1 is 1.

$$v=7-v+1+4v+4$$

Add 7 and 1 to get 8.

$$v=8-v+4v+4$$

Combine -v and 4v to get 3v.

$$v=8+3v+4$$

Add 8 and 4 to get 12.

$$v=12+3v$$

Subtract 3v from both sides.

$$v-3v=12$$

Combine v and -3v to get -2v.

$$-2v=12$$

Divide both sides by -2.

$$v=\frac{12}{-2}$$

Divide 12 by -2 to get -6.

$$v=-6$$