You have the following equation:
-11q + 4 = -9q + 5
solve the previous equation as follow:
-11q + 4 = -9q + 5 add 9q and subtract 4 both sides
-11q + 9q = 5 - 4 simplify both sides
-2q = 1 divide by -2 both sides
q = -1/2
Hence, the value of q which makes the equation tru is q = -1/2.