Solve for z -6z-18z+2z+6z=16

$- 6 z - 18 z + 2 z + 6 z = 16$

Simplify $- 6 z - 18 z + 2 z + 6 z$ .

Combine the opposite terms in $- 6 z - 18 z + 2 z + 6 z$ .

Add $- 6 z$ and $6 z$ .

$- 18 z + 2 z + 0 = 16$

Add $- 18 z + 2 z$ and $0$ .

$- 18 z + 2 z = 16$

Add $- 18 z$ and $2 z$ .

$- 16 z = 16$

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

Divide each term in $- 16 z = 16$ by $- 16$ .

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

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

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

Divide $z$ by $1$ .

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

Simplify the right side.

Divide $16$ by $- 16$ .

$z = - 1$