AI Tutor
Imagine you and two friends buy movie tickets, and the cashier gives your whole group a single 5∗∗discount.Thatisverydifferentfromgetting∗∗5** discount. That is very different from getting **5 off each ticket.
In algebra, a single pair of parentheses decides whether you subtract 5 once or multiply the subtraction by 3.
How do you know which operation happens first when reading plain English words?

Clue Words for Grouping

When a phrase starts with "the sum of", "the difference of", or "the quantity of", it bundles those terms together before anything else touches them.
A grouping symbol like parentheses ()( ) acts like a sealed bag, forcing you to treat everything inside as one combined package.
What does this step-by-step translation look like in action?

Step-by-Step Translation

Let's translate: "Six times the difference of a number kk and 3."
First, find the group: "the difference of kk and 3" means subtraction, written as (k−3)(k - 3).
Next, apply the outer action: "Six times" multiplies that whole group, giving 6(k−3)6(k - 3).