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Intangibles - (Details) - USD ($) $ in Millions | 6 Months Ended
--- | ---
Jun. 30, 2021 | Jun. 30, 2020
Changes in intangibles |  |
Balance at beginning of year | $ 9,296 | $ 8,499
Additions | 78 | 77
Disposals | (5) | (3)
Amortization | (131) | (105)
Acquisition of NLC | 1,428 |
Translation adjustment | 331 | (1,762)
Balance at end of year | 10,997 | 6,706
Goodwill |  |
Changes in intangibles |  |
Balance at beginning of year | 3,298 | 3,629
Translation adjustment | 104 | (514)
Balance at end of year | 3,402 | 3,115
Concessions |  |
Changes in intangibles |  |
Balance at beginning of year | 5,391 | 3,970
Additions | 57 | 69
Disposals | (5) | (3)
Amortization | (115) | (92)
Acquisition of NLC | 1,428 |
Translation adjustment | 204 | (1,042)
Balance at end of year | 6,960 | 2,902
Contract right |  |
Changes in intangibles |  |
Balance at beginning of year |  | 140
Amortization |  | (1)
Translation adjustment |  | (11)
Balance at end of year |  | 128
Software |  |
Changes in intangibles |  |
Balance at beginning of year | 76 | 76
Additions | 21 | 8
Amortization | (16) | (12)
Translation adjustment | 3 | (14)
Balance at end of year | 84 | 58
Research and development project and patents |  |
Changes in intangibles |  |
Balance at beginning of year | 531 | 684
Translation adjustment | 20 | (181)
Balance at end of year | 551 | 503
Carrying amount |  |
Changes in intangibles |  |
Balance at end of year | 12,839 | 8,316
Carrying amount | Goodwill |  |
Changes in intangibles |  |
Balance at end of year | 3,402 | 3,115
Carrying amount | Concessions |  |
Changes in intangibles |  |
Balance at end of year | 8,097 | 3,792
Carrying amount | Contract right |  |
Changes in intangibles |  |
Balance at end of year |  | 223
Carrying amount | Software |  |
Changes in intangibles |  |
Balance at end of year | 789 | 683
Carrying amount | Research and development project and patents |  |
Changes in intangibles |  |
Balance at end of year | 551 | 503
Accumulated amortization |  |
Changes in intangibles |  |
Balance at end of year | (1,842) | (1,610)
Accumulated amortization | Concessions |  |
Changes in intangibles |  |
Balance at end of year | (1,137) | (890)
Accumulated amortization | Contract right |  |
Changes in intangibles |  |
Balance at end of year |  | (95)
Accumulated amortization | Software |  |
Changes in intangibles |  |
Balance at end of year | $ (705) | $ (625)

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