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a + 6b = 62
a = 62 - 6b
b + 5a = 78
b + 5(62 - 6b) = 78
b + 310 - 30b = 78
-29b = -232
29b = 232
b = 8
a = 62 - 6b
a = 62 - 48
a = 14