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To make/put a down payment.

"I've made/put a down payment on a new TV and video."

Cambridge Dictionary Online.

In the News:

"Remember that if you do not make any down payment, you will lack equity in the property until you begin to pay off your mortgage."

San Francisco Chronicles.

"We thought the initial offer of $6,500 was way too low. When we added up the nearly $13,800 in extra car payments you’ll have to make on the 2008 Dodge Charger you bought, along with the down payment, the money to Wells Fargo, the car rental, the lost items and lost work time, we came up with a grand total of $19,421.72.
The New Sun.

Imagen: E How Money.