Solve for z 4z-8+3z+6=180

$4 z - 8 + 3 z + 6 = 180$

Simplify $4 z - 8 + 3 z + 6$ .

Add $4 z$ and $3 z$ .

$7 z - 8 + 6 = 180$

Add $- 8$ and $6$ .

$7 z - 2 = 180$

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

Add $2$ to both sides of the equation.

$7 z = 180 + 2$

Add $180$ and $2$ .

$7 z = 182$

Divide each term in $7 z = 182$ by $7$ and simplify.

Divide each term in $7 z = 182$ by $7$ .

$\frac{7 z}{7} = \frac{182}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 z}{7} = \frac{182}{7}$

Divide $z$ by $1$ .

$z = \frac{182}{7}$

Simplify the right side.

Divide $182$ by $7$ .

$z = 26$