Simplify Algebraic Expressions: Combine Like Terms Step-by-Step

Published on May 5, 2026

Algebra

Learn how to simplify various algebraic expressions by combining like terms. This guide provides step-by-step solutions for a set of practice problems.

Question

resolver paso a paso todos los ejercicios

Answer

Here are the step-by-step solutions for each exercise:

  1. Combine like terms:

  2. Combine like terms:

  3. Combine like terms:

  4. Combine like terms:

  5. Find a common denominator for the coefficients (which is 12):

    Simplify the fraction:

  6. Find a common denominator for the coefficients (which is 24):

  7. Find a common denominator for the coefficients (which is 24):

    Simplify the fraction by dividing numerator and denominator by 3:

  8. Combine like terms:

  9. Group and combine like terms:

  10. Group and combine like terms:

  11. Group and combine like terms:



  12. Group and combine like terms:
    Terms with :
    Terms with :
    Terms with :
    Terms with :
    Constant terms:

  13. Group and combine like terms:
    Terms with :
    Terms with :
    Constant terms:

  14. Group and combine like terms:
    Terms with :
    Terms with :
    Constant terms:

  15. Group and combine like terms:
    Terms with :
    Terms with :

  16. Group and combine like terms:
    Terms with :
    Terms with :
    Terms with :
    Term with :

  17. Group and combine like terms:
    Terms with :
    Terms with :
    Terms with :

  18. Group and combine like terms:
    Terms with :
    Terms with :
    Terms with :
    Find a common denominator for the coefficients (which is 12):

    Constant terms: