= total loan amount × monthly interest rate ×( 1+ monthly interest rate) ÷[( 1+ monthly interest rate) ÷ repayment times-1]

Or in your question, multiply the denominator on the right by the left, and the formula becomes

Total loan amount × monthly interest rate ×( 1+ monthly interest rate) repayment times = monthly repayment amount x[( 1+ monthly interest rate) repayment times-1]

Please note that1+1.006+1.006+2 ...+1.00659 is the sum of geometric series, that is.

[( 1+ monthly interest rate) repayment times-1]/ monthly interest rate