Solve -4(2z-6)=-3(z-4)+z

$$- 4 ( 2 z - 6 ) = - 3 ( z - 4 ) + z$$

Solve for z

$$z=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2z-6.

$$-8z+24=-3\left(z-4\right)+z$$

Use the distributive property to multiply -3 by z-4.

$$-8z+24=-3z+12+z$$

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

$$-8z+24=-2z+12$$

Add 2z to both sides.

$$-8z+24+2z=12$$

Combine -8z and 2z to get -6z.

$$-6z+24=12$$

Subtract 24 from both sides.

$$-6z=12-24$$

Subtract 24 from 12 to get -12.

$$-6z=-12$$

Divide both sides by -6.

$$z=\frac{-12}{-6}$$

Divide -12 by -6 to get 2.

$$z=2$$