"You have to give credit to the Bulls in that period after half-time," Read said. "That was probably the decider, those points they put on us there.
"We've been under a bit of pressure back home so I suppose the performance out there was encouraging. We really stuck to our guns at the end and it was a bit unfortunate we couldn't quite get over the line."
Read and the Crusaders began the game strongly and the No 8 put them into the lead after seven minutes by running a nice angle on to an Andy Ellis pass to crash over.
Carter converted, as he did the other tries, but the Crusaders dearly missed the nine points he missed through three relatively easy penalty attempts. It was his third game since his groin injury and his second start, and the first match in which he has kicked for goal this season. His rustiness in this area was obvious.
Steyn narrowed the gap to 13-9 at halftime and then the Bulls cashed in on some poor Crusaders' option taking through tries to Dean Greyling - a prop who sold an outrageous dummy to fullback Israel Dagg - and centre Wynand Olivier.
While the Crusaders will be looking forward to coming home after an African tour resulting in one win and one loss, the Stormers lie in wait after an ominous performance in the 21-6 victory over the Highlanders in Dunedin.
The Cape Town team showed they thoroughly deserve their front-running status by shutting down the Highlanders, who could manage only two penalties through Chris Noakes. It was their first defeat at their new stadium and Jamie Joseph's men now have a bye before a home match against the Blues.
Wing Gio Aplon, who later went off injured, and fullback Joe Pietersen scored tries for the Stormers and they were two outstanding individuals in a team which proved they have flair to go with their notoriously effective defence.
The Chiefs lost lock/loose forward Kane Thompson to a neck injury but won their war of attrition against the Force in Perth 20-12, their first win in Australia since 2010.
Fritz Lee replaces Thompson for the rest of the trip which takes in matches against the Cheetahs in Bloemfontein and Sharks in Durban. Chiefs coach Dave Rennie said he was frustrated by poor decision making but his side find themselves second on the table with five wins and one loss, and only two points behind the Stormers.
Mark Hammett's Hurricanes put their loss to the Cheetahs - after holding a 21-point lead - behind them with an excellent 42-18 victory over the Sharks in New Plymouth.
In Melbourne the Rebels compounded the Blues' misery with a 34-23 victory and the Reds snapped their losing streak with a 20-13 win over the Brumbies in Brisbane.
The Lions went to the bottom of the table after their 26-5 loss to the Cheetahs.
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