Find the value of '?' in the equation: 24 − [2.4 − {0.24 × 2 − (0.024 − ?)}] = 22.0584.

Explanation

Starting with the equation: 24 − [2.4 − {0.24 × 2 − (0.024 − ?)}] = 22.0584, Calculate inside the braces first: 0.24 × 2 = 0.48, So the expression becomes: 24 − [2.4 − {0.48 − (0.024 − ?)}] = 22.0584, Simplify inside the curly brackets: 0.48 − 0.024 + ? = 0.456 + ?, Now the expression is: 24 − [2.4 − (0.456 + ?)] = 22.0584, Rewrite as: 24 − 2.4 + 0.456 + ? = 22.0584, Simplify left side: 22.056 + ? = 22.0584, Therefore, ? = 22.0584 − 22.056 = 0.0024.