[5m(3m-n)+2n(n-3m)]/(3m-n)

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[5m(3m-n)+2n(n-3m)]/(3m-n)

[5m(3m-n)+2n(n-3m)]/(3m-n)
[5m(3m-n)+2n(n-3m)]/(3m-n)

[5m(3m-n)+2n(n-3m)]/(3m-n)
[5m(3m-n)+2n(n-3m)]/(3m-n)
=[5m(3m-n)-2n(3m-n)]/(3m-n)
=(5m-2n)(3m-n)/(3m-n)
=5m-2n

[5m(3m-n)+2n(n-3m)]/(3m-n)
=(3m-n)[5m-2n]/(3m-n)
=5m-2n

[5m(3m-n)+2n(n-3m)]/(3m-n)
=(15m^2-11mn+2n^2)/(3m-n)
=(3m-n)(5m-2n)/(3m-n)
=5m-2n

[5m(3m-n)+2n(n-3m)]/(3m-n)
=[5m(3m-n)-2n(3m-n)]/(3m-n)
=(5m-2n)(3m-n)/(3m-n)
=5m-2n