Algebra 2 Common Core

$z\geq6$
$2-3z\geq7(8-2z)+12$ Step 1 (Distribute): $2-3z\geq56-14z+12$ Step 2 (Combine like terms): $2+11z\geq56+12$ (Added $14z$ to both sides) $2+11z\geq68$ (Combined $56 + 12$) $11z\geq66$ (Subtracted $2$ from both sides) Step 3 (Divide each side by 11); $11z\geq66$ $z\geq6$ Final step: When graphing $z\geq6$, be sure to point the arrow from $6$ towards higher values and that the circle is solid since it is $\geq$.