der Abzug
deduction
An amount that is deducted from a sum, for example taxes or social security contributions from a salary.
Nach Abzug aller Kosten blieb ein Gewinn von 500 Euro.
After deduction of all costs, a profit of 500 euros remained.

deduction / trigger / withdrawal
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deduction
An amount that is deducted from a sum, for example taxes or social security contributions from a salary.
Nach Abzug aller Kosten blieb ein Gewinn von 500 Euro.
After deduction of all costs, a profit of 500 euros remained.

'Der Abzug' is the noun formed from the verb 'abziehen' (to pull away / deduct). This basic idea of taking away or moving away connects all meanings: money is 'abgezogen' (deducted) from a salary, troops are 'abgezogen' (withdrawn), or smoke is 'abgezogen' (extracted).
Der Abzug der Steuern erfolgt automatisch.
The deduction of taxes happens automatically.
Because 'Abzug' has many meanings, the context is crucial. Words like 'Gehalt' (salary) or 'Rechnung' (bill/invoice) point to money, 'Waffe' (weapon) to the trigger, 'Truppen' (troops) to the military, and 'Küche' (kitchen) to the extractor hood.
Schalte bitte den Abzug ein, es riecht nach verbranntem Essen.
Please turn on the extractor fan; it smells like burnt food.
In a financial context, fixed expressions like 'nach Abzug der Kosten' (after deduction of costs) or 'Abzüge vom Lohn' (deductions from wages) are very common. The preposition 'von' is often used to indicate what something is deducted from.
Was bleibt mir nach Abzug der Miete noch übrig?
What do I have left after deduction of the rent?
When 'Abzug' means the trigger of a weapon, the typical verbs are 'drücken' (to press/pull) or the more formal 'betätigen' (to operate). A fixed expression is 'am Abzug sein', which means 'to be ready to act'.
Der Polizist hatte den Finger am Abzug.
The police officer had his finger on the trigger.
In political or military news, 'der Abzug' refers to the planned withdrawal of soldiers. The most common combination is 'der Abzug der Truppen' (the withdrawal of troops) from a particular country or area.
Die Medien berichteten über den Abzug der Soldaten.
The media reported on the withdrawal of the soldiers.
In the context of photography, an 'Abzug' is a physical copy of an image. You order or make 'Abzüge von einem Foto' (prints of a photo).
Ich habe die Abzüge von unseren Urlaubsfotos gestern abgeholt.
I picked up the prints of our vacation photos yesterday.
pressure / printing
'der Druck' and 'der Abzug' can both have to do with printed images or texts. 'Druck' more often means the process of printing or, in general, producing printed things. 'Abzug', on the other hand, means an individual copy or print, especially of photos, drawings, or print templates. The words can be confused because in both cases something ends up on paper. When you are talking about the production process, 'Druck' fits. When you mean the individual finished copy, 'Abzug' is better.

Für das Familienalbum bestellt er einen Abzug des alten Fotos.
He orders a print of the old photo for the family album.
Der Druck der neuen Plakate beginnt am Montag.
The printing of the new posters begins on Monday.