Answer:
n = -3
Step-by-step explanation:
Cross multiply. We get:
(n - 6)(3n + 1) = 3n(n - 5), or
3n² + n - 18n - 6 = 3n² - 15n
Simpify by combining like terms. 3n² on the left is the same as 3n² on the right, so we cancel these terms:
n - 18n - 6 = - 15n.
Continuing to combine like terms, we get:
-2n = 6, so that n = -3.
Note that there is no problem subbing -3 for n in the given proportion; both fractions will be defined. Thus, n = -3 is the solution desired.
