Explain why the equation 2(n+1)=2n+2 has infinitely many solutions

Answer 1

The equation 2(n+1) = 2n+2 can be simplified to 2n+2 = 2n+2.

When we simplify the equation, we can see that it essentially states that 2 is equal to 2.

Since this statement is always true, regardless of the value of n, the equation has infinitely many solutions.

No matter what value we substitute for n, the equation will always be true. Therefore, any value of n is a solution to the equation, resulting in infinitely many solutions.