Someone PMed me about this thread, so I hope you don't mind if I try to clarify something about muscle building and fat loss.
Building muscle will raise your metabolism and cause you to lose more fat because every additional pound of muscle in your body burns about 20 - 25 calories per day. A pound of fat burns about 3 calories per day so it's easy to see why adding muscle is a great way to burn more calories 24/7/365.
BUT ...
Muscle doesn't burn off the fat that's on top of it. In other words, building/strengthening the muscle under fat won't make that particular area of fat go away any faster. Building muscle
anywhere in your body will raise your metabolism and cause you to burn more overall calories, making it easier to create a calorie deficit. The biggest muscles in our bodies are in our legs and butts, not our arms. So it's a mistake to only focus on building muscle in our "problem" areas. We all need to strengthen
every muscle group in our bodies, regardless of where we personally store fat.
Unfortunately, our bodies store fat wherever they please and burn it off in whatever order they please. We can't choose where the fat comes off and there isn't any way to target a specific area of fat to lose. Usually wherever you gain fat first is where you'll lose it last, whether it's hips, belly, or arms. And there just isn't any way to change that fact.
So doing arm exercises will build strong arm muscles but won't make the fat on your arms go away any faster. Same with bellies and legs. The best way to lose the arm fat is to concentrate on losing fat all over through a program of cardio, whole body weightlifting, and calorie restriction.
But don't lose hope -- problem areas DO go away (or get better) by the time you reach your goal. My problem area was my 57" hips/butt and I had to wear pants two sizes bigger than tops. I looked like a bowling pin.

As I lost weight, the disproportion between my top and bottom got worse, not better!

Even when I was down to a size 10, I didn't think I'd ever find a pair of pants that would fit my smaller waist and still gigantic hips and despaired that I'd ever even out. I honestly thought that I'd end up as a smaller version of my previously shaped self.
But the last 20 - 25 pounds came off 100% off my lower body! I think there just wasn't any other fat left to lose so my body HAD to finally let go of its favorite fat (that stuff had been there for decades!!) Much to my amazement, I often now wear a smaller size on the bottom now than the top.