Answer:
Infinitely many solutions.
Step-by-step explanation:
The given equation is
\(5(n-2)=5n-10\)
We need to find the number of solutions for the given equation.
Using distributive property we get
\(5(n)+5(-2)=5n-10\)
\(5n-10=5n-10\)
Add 10 on both sides.
\(5n=5n\)
Subtract 5n from both sides.
\(5n-5n=5n-5n\)
\(0=0\)
This statement is free from n and it is true for any value of n.
Therefore, the given equation has infinitely many solutions.
