Math Problem Statement

Which expression is equivalent to m - 10m + 6m?

Solution

The problem asks for an expression equivalent to m10m+6mm - 10m + 6m.

Solution:

  1. Combine like terms: m10m+6m=(1m10m)+6m=9m+6mm - 10m + 6m = (1m - 10m) + 6m = -9m + 6m

  2. Simplify further: 9m+6m=3m-9m + 6m = -3m

Final Answer:

The expression equivalent to m10m+6mm - 10m + 6m is: 3m\boxed{-3m}

Let me know if you'd like more details or further clarifications!


Related Questions:

  1. What is the general process for simplifying algebraic expressions with multiple terms?
  2. How can combining like terms help in solving equations?
  3. What happens if there are constants (like +5+5) in addition to the variable terms?
  4. Can you explain how to identify like terms in an expression?
  5. How is simplifying expressions useful in real-life mathematical applications?

Tip:

Always group similar terms (e.g., all terms with mm, constants, etc.) and combine them for easier simplification!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

Combining like terms: ax + bx = (a + b)x

Theorems

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Suitable Grade Level

Grades 6-8