Which expression is equivalent to –

w−14(4)w−14(4)

A.w−0w−0

B.w−1w−1

C.−14w(4)−14w(4)

D.34w(4)34w(4)


To find the expression equivalent to \( w - 14(4)w - 14(4) \), let's simplify step by step:

The expression can be interpreted as:

\[
w - 14 \cdot (4w) - 14 \cdot (4)
\]

1. **Distribute the constants** \( -14 \):
   \[
   w - 14 \cdot 4w - 14 \cdot 4 = w - 56w - 56
   \]

2. **Simplify the terms** \( w - 56w \):
   \[
   w - 56w = -55w
   \]
   So the expression becomes:
   \[
   -55w - 56
   \]

None of the answer choices exactly matches this expression. Therefore, it seems the given expression may need clarification or additional context to match one of the provided options.

Would you like to ask any details or provide clarification? Here are 5 questions based on this problem:

1. Could you explain the context or format of the given expression?
2. How do you distribute constants in algebraic expressions?
3. What are the key differences between like and unlike terms?
4. How do you factor an expression when needed?
5. How do you simplify expressions involving multiple variables?

**Tip:** Always distribute constants carefully and combine like terms to simplify an expression.

Which expression is equivalent to w−14(4)w−14(4)?
A. w−0w−0
B. w−1w−1
C. −14w(4)−14w(4)
D. 34w(4)34w(4)

Learn how to simplify the algebraic expression w−14(4)w−14(4) using the distributive property. This step-by-step solution covers key algebraic concepts, such as distribution of constants and combining like terms. Ideal for students in Grades 8-10.

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