2w plus 42 divided by 6 minus 3w plus 12(4)

To simplify the expression \(2w + \frac{42}{6} - 3w + 12(4)\), follow these steps:

1. **Division and Multiplication**: First, handle the division and multiplication.
   \[
   \frac{42}{6} = 7 \quad \text{and} \quad 12 \times 4 = 48
   \]

2. **Substitute Back**: Now, substitute these values back into the expression:
   \[
   2w + 7 - 3w + 48
   \]

3. **Combine Like Terms**: Combine the terms with \(w\) and the constants:
   \[
   (2w - 3w) + (7 + 48)
   \]
   \[
   -w + 55
   \]

So, the simplified expression is \(-w + 55\) or \(55 - w\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you simplify \(3x + 6 - 4x + 8(2)\)?
2. Can you solve the equation \(2w + 7 = 3w - 5\) for \(w\)?
3. What is the result of multiplying the expression \(-w + 55\) by 2?
4. How would you factor the expression \(2w - 3w + 6w\)?
5. Can you graph the linear equation \(y = -w + 55\)?

**Tip**: Always perform multiplication and division before addition and subtraction when simplifying expressions.

Learn how to simplify the expression 2w + (42 ÷ 6) - 3w + 12 × 4 step-by-step. This problem involves algebraic simplification, including division, multiplication, and combining like terms. Suitable for students in Grades 7-9.

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