Solve the Inequality for z 6z+4-8+2z<-20

$6 z + 4 - 8 + 2 z < - 20$

Simplify $6 z + 4 - 8 + 2 z$ .

Add $6 z$ and $2 z$ .

$8 z + 4 - 8 < - 20$

Subtract $8$ from $4$ .

$8 z - 4 < - 20$

Move all terms not containing $z$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$8 z < - 20 + 4$

Add $- 20$ and $4$ .

$8 z < - 16$

Divide each term in $8 z < - 16$ by $8$ and simplify.

Divide each term in $8 z < - 16$ by $8$ .

$\frac{8 z}{8} < \frac{- 16}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 z}{8} < \frac{- 16}{8}$

Divide $z$ by $1$ .

$z < \frac{- 16}{8}$

Simplify the right side.

Divide $- 16$ by $8$ .

$z < - 2$

The result can be shown in multiple forms.

Inequality Form:

$z < - 2$

Interval Notation:

$(- \infty, - 2)$