4(n+5/12)=1 1/6(6n-1 1/7)

4 * (n + 5/12) = 1 1/6 * (6 * n - 1 1/7);

4 * n + 4 * 5/12 = 7/6 * 6 * n - 7/6 * 8/7;

4 * n + 5/3 = 7 * n - (7 * 8)/(6 * 7);

4 * n + 5/3 = 7 * n - 4/3;

4 * n - 7 * n = -5/3 - 4/3;

(4 - 7) * n = -(5 + 4)/3;

-3 * n = -9/3;

-3 * n = -3;

n = -3/(-3) = 1;

Ответ: n = 1.