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

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

Solve for z

$$z = \frac{11}{6} = 1\frac{5}{6} \approx 1.833333333$$

Steps for Solving Linear Equation

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

$$24z-16=3\left(2+4z\right)$$

Use the distributive property to multiply 3 by 2+4z.

$$24z-16=6+12z$$

Subtract 12z from both sides.

$$24z-16-12z=6$$

Combine 24z and -12z to get 12z.

$$12z-16=6$$

Add 16 to both sides.

$$12z=6+16$$

Add 6 and 16 to get 22.

$$12z=22$$

Divide both sides by 12.

$$z=\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$z=\frac{11}{6}$$