Solve v-4(v-9)=4(5v+9)

$$v - 4 ( v - 9 ) = 4 ( 5 v + 9 )$$

Solve for v

$$v=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by v-9.

$$v-4v+36=4\left(5v+9\right)$$

Combine v and -4v to get -3v.

$$-3v+36=4\left(5v+9\right)$$

Use the distributive property to multiply 4 by 5v+9.

$$-3v+36=20v+36$$

Subtract 20v from both sides.

$$-3v+36-20v=36$$

Combine -3v and -20v to get -23v.

$$-23v+36=36$$

Subtract 36 from both sides.

$$-23v=36-36$$

Subtract 36 from 36 to get 0.

$$-23v=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -23 is not equal to 0, v must be equal to 0.

$$v=0$$