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I agree you're best starting off with local day hikes with a loaded pack, then work your way up to one, then more over nights. The key is to be prepared against the elements, so be sure to bring the right kind of clothes, synethics and wool, no cotton. A lot of peopled get killed from exposure 'cause they under-estimate how fast the weather can get ugly. Over time you can buy the equipment you need, but I can give you a brief list here:
A head lamp. The new ones with the LED's are nice, 'cause they last. I usually carry an extra.
Sleeping bag (down is warm, light, and compact, but be sure to pack it in something waterproof, it's useless when wet).
A Sleeping pad to provide a thermal barrier between you and the ground.
Two one liter water bottles, Nalgenes are nice 'cause you can pour boiling water into them.
A cooking stove. I use an NRS Whisper Light, with a fuel bottle of white gas.
A mess kit with utensils.
A water filter or water purification tablets, it sucks getting giardia.
Food, preferably instant stuff that cooks up easily on the stove, and make sure you bring snacks, like a bag of raisins and peanuts, and cliff bars.
Clothing, including rain gear and a wool hat.
It's important not to bring too much extra crap, but you'll figure it out with experience, which is why it's important to start off slow, and get dialed in, then you can brake in your boots without being stuck out there with blisters, and you can figure out what works for you.
First there is a mountain then there is no mountain then there is