Question: How to solve for: 3[4-3(6-7)]
There is a thing called operator precedence. This tells you in what order algebraic operators should be applied.
The order is,
1) exponents and roots
2) multiplication and division
3) addition and subtraction
In addition to that, where brackets are used, these are evaluated first.
So although a set of brackets is not an operator, they take highest priority.
Innermost brackets should be evaluated first.
Our expression is:
3[4-3(6-7)] -- evaluate the innermost bracket first.
3[4 - 3*(-1)] -- multiplication takes precedence, so do the 3*(-1) first.
3[4 + 3] ----- finish evaluating the bracket with the addition operation.
3*7 ---------- complete the expression's evaluation with a final addition.
21
Answer: 21