Yes I Can!

How To Install Android 4.0.3 Ice Cream Sandwich On Kindle Fire

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Step 1: Download Android 4.0.3 ICS Experimental Build . Transfer it to the root of your Kindle Fire’s internal storage so you can flash it later.

Step 2: Shut down your Kindle Fire. Once it is completely turned off, tap the power button to turn it on. When you see the yellow triangle on the display, press and hold power button until you boot into TWRP.

Step 3: Take a backup from the backups section on TWRP. This will come handy later on if you wish to revert back to your current state.

Step 4: Wipe out everything from TWRP i.e. data factory reset, wipe cache and wipe Dalvik cache.

Step 5: Tap Install and select the file you transferred to your Kindle Fire in Step 1. Once selected, tap flash.

Step 6: From the main menu, tap reboot system.