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Start Roth IRA or pay off student loans?

I am looking to start investing/start paying off my student loans.

I am 28 and expect to be making $60k/year as a tutor

$5,500 checking and low interest savings
$630 401k account (not currently contributing)
$20,400 car (conservative figure)
$2,500 random stuff I own

$18,560 student loans
$10,180 car loan
no credit card debt

My expenses currently total ~$2k/mo

monthly averages (12 month dataset):
~$900 on car (Total cost of ownership; $600/mo loan payment; will be paid off in full in 16 mos)
~$600 on apt/food
~$55 on phone
~$70 on laundry & toilletries
~$100 student loan interest expense
~$150 savings expense
~$200 student loan payment

My question is whether I should max out my Roth IRA first before paying my student loans. I have $11,500 at 6.8% interest and $7,056 at 5.6% interest. I know that interest rate will be hard to hit with an investment account but I know there are tax benefits to having a Roth IRA that may supersede that interest. So I'm just not too sure where to put my money at the moment. Advice on the car would be appreciated too!

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