Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Keith start with? Let's think step by step and output the final answer after "####".
user
Keith's dog ate half of his collection so he had 2 * 46 cards = <<2*46=92>>92 cards before his dog ate them.
Keith had added 8 new cards to his collection so he had 92 cards - 8 = <<92-8=84>>84 cards to start with.
#### 84
Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Keith start with?
train