Question

What is the value of Q?

Answer 1

since angle AC is a straight line, you can infer that the measures of angles ABD and DBC will add up to 180°.
with that in mind, set (7q-46) + (3q+6) = 180.
solve from there.
your answer should be q=22

Answer 2

7q-46=3q+6
4q=52
q= 13