Simplify.
how can this be simplified?
42 ÷ 6 + {1 · 7 - [7 + (6 - 1)]}
To simplify the given expression, you should follow the order of operations (also known as PEMDAS/BODMAS):
Step 1: Simplify any calculations inside the innermost parentheses.
Inside the innermost parentheses, we have (6 - 1), which equals 5.
New expression: 42 ÷ 6 + {1 · 7 - [7 + 5]}
Step 2: Simplify any calculations inside the square brackets.
Inside the square brackets, we have (7 + 5), which equals 12.
New expression: 42 ÷ 6 + {1 · 7 - 12}
Step 3: Simplify any calculations inside the curly braces.
Inside the curly braces, we have (1 · 7), which equals 7.
New expression: 42 ÷ 6 + 7 - 12
Step 4: Perform multiplication and division from left to right.
First, we divide 42 by 6, which equals 7.
New expression: 7 + 7 - 12
Step 5: Perform addition and subtraction from left to right.
Now, we add 7 and 7, which equals 14.
New expression: 14 - 12
Step 6: Finally, subtract 12 from 14.
The simplified expression is: 14 - 12 = 2