Why isnt the laptop charging or turning on?

I went on a vacation and left the laptop at my house, before then it was working perfectly fine but when i came back from the vacation and tried turning it on it didnt, so i plugged it in and tried turning it on again and nothing happened. The charging cable i used works fine on other laptops i have so i think theres something wrong with the laptop itself. when i charge the laptop usually a small light blinks but it isnt anymore. also idk if this is important but on the laptop we have a battery extender thing im not sure what its offically called but it just replaced the normal battery that comes with the laptop to extend the battery life

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