My instructions are to solve the problem by showing the steps and identify as a conditional equation, an inconsistent equation or an identity.

0.06q + 14 = 0.3q - 5.2

You can convert that to
0.24 x = 19.2
and solve it for x.
The original equation is neither inconsistent (an equation with no solutiuon) nor an identity (which is true regardless of x). I have never heard of the phrase "conditional equation" before, but that must be the answer they are expecting.