5/6(1/5n+6)-2/3 (9-1/2n)+5/8 (4/5n-8)=

5/6 * (1/5n + 6) - 2/3 * (9 - 1/2n) + 5/8 * (4/5n - 8) = 5/6 * 1/5n + 5/6 * 6 - 2/3 * 9 - 2/3 * (-1/2n) + 5/8 * 4/5n + 5/8 * (-8) = 1/6n + 5 - 6 + 1/3n + 1/2n - 5 = 1/6n + 5 - 6 + 2/6n + 3/6n - 5;1/6n + 5 - 6 + 2/6n + 3/6n - 5;1/6n + 2/6n + 3/6n = -5 + 6 + 5;1n = 6;n = 6 / 1;n = 6.