To solve the expression \((32 + 40) : 9 \cdot 7\), we follow the order of operations ( parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
First, calculate the sum inside the parentheses: \(32 + 40 = 72\)
Next, replace the original expression with this value: \(72 : 9 \cdot 7\)
Now, perform the division: \(72 : 9 = 8\)
Finally, multiply by \(7\): \(8 \cdot 7 = 56\)
So, \((32 + 40) : 9 \cdot 7 = 56\).