14 + 3n = 8n - 3(n - 4)
I feel like the easiest way to find out how many solutions it has is to simply solve the equation.
So, simplify the equation.
14 + 3n = 8n - 3n + 12
Combine like terms.
14 + 3n = 5n + 12
Subtract 14 from both sides.
3n = 5n + 12 - 14
Subtract 5n from both sides.
3n - 5n = 12 - 14
Simplify.
-2n = -2
Divide both sides by -2.
n = 1
Therefore there is only one solution to this problem.
~Hope I helped!~
