To find the missing number in the equation 5 + (32 + ?) + 6 + 4 = 8, we need to follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
1. First, we simplify the expression inside the parentheses: 32 + ?.
2. Then, we add the numbers outside the parentheses: 5 + (32 + ?) + 6 + 4 = 8.
3. Next, we combine like terms to solve for the missing number.
Given the equation, let's break it down step by step:
5 + (32 + ?) + 6 + 4 = 8
Combine the constants:
5 + 42 + ? = 8
Now, simplify:
47 + ? = 8
To find the missing number, subtract 47 from both sides of the equation:
? = 8 - 47
? = -39
Therefore, the missing number in the equation is -39.