
bezahlen
to pay
To give money for goods, a service, or a debt.
Ich möchte bitte die Rechnung bezahlen.
I would like to pay the bill, please.
to pay
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to pay
To give money for goods, a service, or a debt.
Ich möchte bitte die Rechnung bezahlen.
I would like to pay the bill, please.

to pay for
To have to bear the negative consequences of a mistake or a bad action.
Für seine Arroganz musste er am Ende teuer bezahlen.
In the end, he had to pay dearly for his arrogance.
'Bezahlen' (to pay) is an inseparable verb. The prefix 'be-' always remains attached to the verb. It also causes the verb to almost always require an accusative object, meaning the thing that is being paid.
Er bezahlte den Kaffee und ging.
He paid for the coffee and left.
You can say 'etwas (Akkusativ) bezahlen' (to pay something) or 'für etwas (Akkusativ) bezahlen' (to pay for something). The version with 'für' is often used when emphasizing the reason for the payment.
Wir müssen noch das Abendessen bezahlen.
We still have to pay for dinner.
Common and useful phrases are 'bar bezahlen' (to pay in cash), 'mit Karte bezahlen' (to pay by card), and also 'einen hohen Preis bezahlen' (to pay a high price), which can be meant both literally and figuratively.
Kann ich hier auch mit Kreditkarte bezahlen?
Can I also pay by credit card here?
In this figurative meaning, 'bezahlen' (to pay) is always used with the preposition 'für'. It is not about money, but about the negative consequences of an action.
Für diesen Fehler wird er noch teuer bezahlen müssen.
He will still have to pay dearly for this mistake.
to invite / load
When eating together, both words can fit, but they emphasize different things. Bezahlen directly refers to giving money for the bill, while einladen highlights the social gesture toward the other person. Use bezahlen for paying the bill and einladen when you are covering someone else’s costs.

Nach dem Essen bezahle ich die Rechnung an der Kasse.
After the meal, I pay the bill at the checkout.
Nach dem Essen lade ich meine Schwester auf ein Eis ein.
After the meal, I treat my sister to an ice cream.