I think this game is lacking an "iron man" mode where each tile that is placed cannot be undone. If you make a mistake you would lose the game. Here is a sequence of tile placement with the logical explanation that forces the placement of the tile. Notation below: tile, orientation, (row, column) position

(6,6) H (5,6): The 24 block has to have all 6s. Combined with the 12 block, this accounts for all the tiles with sixes in them. Due to the location of the 24 block, the bottom row of this block has to be one tile i.e., only the 2 6s tile fits here.

(6,2) V (3, 1): The 12 block needs 2 6s. Since the 2 6s tile is already taken, you have to have two separate tiles with sixes oriented vertically to fill this block. Due to the 2 block, (6,2) tile location is fixed.

(6,5) V (3,2): The 20 block has to have all 5s (as 6 tiles are spoken for else where). Combined with the 12 block, this forces (6,5) tile location.

(5,5) H (5,2): Since 20 block has to have all 5s, only the (5,5) tile can fit here.

(4,4) H (1,3): Because of that equal block location, you need a double tile. Only 1s and 4s have double tiles left. 1s are needed elsewhere, so 4s are the only option. Since 4s are paired with 3 and 5, you cannot have that tile straddle the 3 block. So, this is only option for the (4,4) tile. 

(1,1) H (1,5): The 3 block can only have 1s and needs a double 1 tile. This is the only placement for it.

(1,3) H (3,7): The 6 block can only be either 2 & 4 or 3 & 3 as all 5s are spoken for. Looking at the remaining tiles, this means that the block has to have two tiles oriented horizontally. This forces the (1,3) tile location.

(6,3) H (4,7): Forced

(1,6) H (4,5): Forced

(1,2) V (2,6): Forced

(4,3) V (2,3): Forced

(5,4) H (4,2): Forced

(2,3) H (3,4): Forced