This is a very classical type of equation in which, the solution is basically any number and it is known as an "Identity". So it has infinite solutions
Step-by-step explanation:
Apply the distributive law to both sides of the equation:
-6(n-8) = 4(12-5n)+14n
-6n-6*(-8) = 4*12+4*(-5n) + 14n
Reduce similar terms
-6n+48=48-20n+14n
-6n+48=48-6n
From here it is clear them to see that by adding -48 and 6n to both sides one obtains the identity 0 = 0
-6n+48=48-6n
-6n +6n + 48 -48 = 48 -48 - 6n + 6n
0 = 0
So every time you find this kind of problem and after reducen the equation you end up with a true statement, then the equation has infinite solutions
