Solve 3-2*(z-1)/6=8z+1/3

$$3 - \frac { 2 \cdot ( z - 1 ) } { 6 } = \frac { 8 z + 1 } { 3 }$$

Solve for z

$$z=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$18-2\left(z-1\right)=2\left(8z+1\right)$$

Use the distributive property to multiply -2 by z-1.

$$18-2z+2=2\left(8z+1\right)$$

Add 18 and 2 to get 20.

$$20-2z=2\left(8z+1\right)$$

Use the distributive property to multiply 2 by 8z+1.

$$20-2z=16z+2$$

Subtract 16z from both sides.

$$20-2z-16z=2$$

Combine -2z and -16z to get -18z.

$$20-18z=2$$

Subtract 20 from both sides.

$$-18z=2-20$$

Subtract 20 from 2 to get -18.

$$-18z=-18$$

Divide both sides by -18.

$$z=\frac{-18}{-18}$$

Divide -18 by -18 to get 1.

$$z=1$$