Solve for z 2z-z-z+5z-z=28

$2 z - z - z + 5 z - z = 28$

Step 1

Simplify $2 z - z - z + 5 z - z$ .

Subtract $z$ from $2 z$ .

$z - z + 5 z - z = 28$

Subtract $z$ from $z$ .

$0 + 5 z - z = 28$

Add $0$ and $5 z$ .

$5 z - z = 28$

Subtract $z$ from $5 z$ .

$4 z = 28$

Step 2

Divide each term in $4 z = 28$ by $4$ and simplify.

Divide each term in $4 z = 28$ by $4$ .

$\frac{4 z}{4} = \frac{28}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 z}{4} = \frac{28}{4}$

Divide $z$ by $1$ .

$z = \frac{28}{4}$

Simplify the right side.

Divide $28$ by $4$ .

$z = 7$