solve for z

and show me how you checked your work
-2z - 7 = -19

To solve for z in the equation -2z - 7 = -19, we first need to isolate z by getting rid of the constant term.

-2z - 7 = -19
Add 7 to both sides to eliminate the -7 on the left side of the equation:
-2z = -12
Next, divide by -2 to solve for z:
z = 6

To check our work, we substitute the value of z back into the original equation:
-2(6) - 7 = -19
-12 - 7 = -19
-19 = -19

Since both sides of the equation are equal, we have solved for z correctly.