Question

so how do you figure out the equation

n/3 + 8 = 3/2 (n-1) + 1/6

i believe you have to multiply by the common denominator (12 in this case?) but i still am not getting to an answer.

Answer 1

n/3 + 8 = 3/2 (n-1) + 1/6
n/3 + 8 = 3n/2 -3/2 + 1/6
Now use a common denominator of 6.
2n/6 + 8 = 9n/6 -9/6 + 1/6 = 9n/6 -8/6
7n/6 = 8 + 8/6 = 56/6
7n = 56
n = 8