z = 4
Convert each fraction so that they share a common denominator.
-5/2 = -10/4 and 1/2 = 2/4
Plug these values into the equation.
-10/4 = 3/4z + 2/4
Subtract 2/4 from both sides to get -12/4 = 3/4z.
-12/4 can be simplified to -3.
-3 = 3/4z
Divide each side by 0.75 (which is equivalent to 3/4) to find that the value of z is 4.