Step 1 :The given equation is \(-\frac{z}{5}-37=-18\).
Step 2 :We first add 37 to both sides of the equation to get rid of the -37 on the left side. This gives us \(-\frac{z}{5} = -18 + 37\).
Step 3 :Simplifying the right side of the equation gives us \(-\frac{z}{5} = 19\).
Step 4 :We then multiply both sides of the equation by -5 to solve for 'z'. This gives us \(z = 19 \times -5\).
Step 5 :Simplifying the right side of the equation gives us \(z = -95\).
Step 6 :So, the solution to the equation is \(\boxed{-95}\).