Order of operations is: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
7 + 7 / 7 + 7 * 7 - 7
First, I'm assuming no parentheses.
Second, I see no exponents.
Third, multiplication. Calculating just the multiplication (7 * 7) leaves us the problem:
7 + 7 / 7 + 14 - 7
Fourth, division. Calculating just the division (7 / 7) leaves us the problem:
7 + 1 + 14 - 7
Fifth, (for the sake of seeing out the entire process) addition. Calculating just the addition gives us the problem:
22 - 7
Sixth, subtraction gives us the answer.
15