Answer:
m = 5
n = 15
Step-by-step explanation:
n + n+6 = 3m + 7m-14
2n + 6 = 10m - 14
2n = 10m -20
n = 10m/2 - 20/2
n (simplified) = 5m-10
we can let 'n' = 5m-10 using 'substitution':
3m = 5m-10
-2m = -10
m = 5
now we can find 'n':
n = 5m-10
n = 5(5)-10
n = 25-10
n = 15
CHECK:
3(5) + 7(5)-14 should equal 15 + 15 + 6
15 + 21 = 36
36=36 [checks out]