Question
$$1 = n-(n-1)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 1 &= n-(n-1)&& \text{simplify right side} \\[1 em]1 &= n-n+1&& \\[1 em]1 &= n-n+1&& \\[1 em]1 &= 1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 1 = 1 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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