  The paper is devoted studying solvable Leibniz algebras with a nilradical
possessing the codimension equals the number of its generators. We describe
this class in non-split nilradical case. Then the case of split nilradical is
worked out. We show that the results obtained earlier on this class of Leibniz
algebras come as particular cases of the results of this paper. It is shown
that such a solvable extension is unique. Finally, we prove that the solvable
Leibniz algebras considered are complete.
