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5m+n = 37

m-2n = 14 => m = 2n+14

Substitute the value of m into the top equation:

5(2n+14)+n = 37

10n+70+n = 37

10n+n = 37-70

11n = -33

Divide both sides by 11 to find the value of n:

n = -3

Substitute the value of n into the original equations to find the value of m:

Therefore: n = -3 and m = 8

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