You have several tools in Premiere:
1. Clip gain. Right-click on an audio clip, select “gain”, put in a positive number or negative number to increase/decrease the volume of the entire clip.
2. Track gain. Select the audio workspace. Use the audio track mixer to raise/lower entire tracks. This is not keyframeable.
3. The real power is in the clip volume envelope aka. volume rubber band. Click and drag in the track header area to increase the height of the audio track. Grab the Pen tool. Click on the faint line in the middle of the clip and drag it up/down, which gives you 6db adjustment in either direction. Every time you click the line creates a new keyframe or control point. With 2 of them, you can create a fade up or fade down. With 4 you can duck the music under dialog.
Premiere CC also includes Audition, which is a full sound editing/mixing software... for the complicated stuff!
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