9514 1404 393
Answer:
n = 5/2
Step-by-step explanation:
Given
5/2(4n -10) +4 = 2/3(6n -9)
5(2n -5) +4 = 2(2n -3) . . . . . . . simplify a bit
10n -25 +4 = 4n -6 . . . . . . . . . eliminate parentheses
6n = 15 . . . . . . . . . . . . . . . . . . . add 21-4n
n = 15/6 = 5/2
The value of n that makes the equation true is n = 5/2 = 2.5.