Sure, let's break it down step by step:
Given expression: 22 - 2(12/4 + 2*3) / 3 + 7
Step 1: Solve inside the parentheses:
12 divided by 4 equals 3.
2 multiplied by 3 equals 6.
So, the expression becomes: 22 - 2(3 + 6) / 3 + 7
Step 2: Perform the operations inside the parentheses:
3 + 6 equals 9.
So, the expression becomes: 22 - 2(9) / 3 + 7
Step 3: Solve the multiplication:
2 multiplied by 9 equals 18.
So, the expression becomes: 22 - 18 / 3 + 7
Step 4: Perform the division:
18 divided by 3 equals 6.
So, the expression becomes: 22 - 6 + 7
Step 5: Perform the addition and subtraction:
22 - 6 equals 16.
16 + 7 equals 23.
So, the simplified expression is: 23