https://file.aiquickdraw.com/mathbot/file/17268668489933jo6dksb.jpg

The problem states:

**Twice the difference of a number and 2 is 6.**

The task is to translate this into an equation using the variable \( b \) for the unknown number.

Let's break it down:
- "The difference of a number and 2" means \( b - 2 \).
- "Twice the difference" means multiplying that difference by 2, giving \( 2(b - 2) \).
- "Is 6" means the expression equals 6.

Thus, the equation is:

\[
2(b - 2) = 6
\]

Let me know if you'd like further details or have any questions!

### Relative Questions:
1. How would you solve the equation \( 2(b - 2) = 6 \)?
2. What does it mean to "solve for \( b \)" in this context?
3. How would the equation change if the number was subtracted from 2 instead?
4. What happens to the solution if the right-hand side is changed to 8 instead of 6?
5. Can you generalize this type of equation for any difference \( b - c \)?

### Tip:
When translating word problems into equations, identifying keywords like "sum," "difference," and "twice" helps you know which operations to use.

Twice the difference of a number and 2 is 6. Use the variable b for the unknown number.

Learn how to translate the verbal expression 'twice the difference of a number and 2 is 6' into an algebraic equation using the variable b. This problem focuses on key algebraic skills like equation translation and solving linear equations, suitable for students in Grades 6-8.

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