Marques owes 32 more payments on a loan that was originally a $20,000 5-year 6% apr loan with monthly payments. how much is his outstanding principal balance?

Calculate the value, A, of the original loan.
A = 20000*(1 + 0.06/12)⁶⁰ = $26,977.00

Calculate the monthly payment
p = 26977/60 = $449.62

After 32 payments, the remaining value of the loan is
26977 - 32*449.62 = $12,589.27
The number of remaining payments is 60-32 = 28.
 
If x = the outstanding principal balance, then
x*(1 + 0.06/12)²⁸ = 12589.27
1.15x = 12.589.27
x = 10947.19

The outstanding principal balance is $10,947.19