Math Problem Statement

Which expression is equivalent to n, plus, 8, n, minus, 6, nn+8n−6n?

Solution

The expression given is:

n+8n6nn + 8n - 6n

To simplify this expression:

  1. Combine the terms involving nn: n+8n6n=(1n+8n6n)n + 8n - 6n = (1n + 8n - 6n)

  2. Add/subtract the coefficients of nn: 1n+8n=9n1n + 8n = 9n 9n6n=3n9n - 6n = 3n

So, the expression simplifies to:

3n3n

Equivalent expression: 3n3n

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you combine like terms in algebraic expressions?
  2. What are coefficients in an algebraic expression?
  3. How would the expression change if there were constants (e.g., n+8n6n+4n + 8n - 6n + 4)?
  4. How do you solve for nn in more complex equations?
  5. What is the difference between a variable and a coefficient?

Tip: When simplifying expressions, always combine like terms first.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

n + 8n - 6n = 3n

Theorems

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Suitable Grade Level

Grades 6-8