Solve 7(v+8)=-5(3v-8)+4v

$$7 ( v + 8 ) = - 5 ( 3 v - 8 ) + 4 v$$

Solve for v

$$v=-\frac{8}{9}\approx -0.888888889$$

Steps for Solving Linear Equation

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

$$7v+56=-5\left(3v-8\right)+4v$$

Use the distributive property to multiply -5 by 3v-8.

$$7v+56=-15v+40+4v$$

Combine -15v and 4v to get -11v.

$$7v+56=-11v+40$$

Add 11v to both sides.

$$7v+56+11v=40$$

Combine 7v and 11v to get 18v.

$$18v+56=40$$

Subtract 56 from both sides.

$$18v=40-56$$

Subtract 56 from 40 to get -16.

$$18v=-16$$

Divide both sides by 18.

$$v=\frac{-16}{18}$$

Reduce the fraction \frac{-16}{18} to lowest terms by extracting and canceling out 2.

$$v=-\frac{8}{9}$$