Solve 4(5z+35)=2(2z-2)

$$4 ( 5 z + 35 ) = 2 ( 2 z - 2 )$$

Solve for z

$$z=-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 5z+35.

$$20z+140=2\left(2z-2\right)$$

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

$$20z+140=4z-4$$

Subtract 4z from both sides.

$$20z+140-4z=-4$$

Combine 20z and -4z to get 16z.

$$16z+140=-4$$

Subtract 140 from both sides.

$$16z=-4-140$$

Subtract 140 from -4 to get -144.

$$16z=-144$$

Divide both sides by 16.

$$z=\frac{-144}{16}$$

Divide -144 by 16 to get -9.

$$z=-9$$