Math Problem Statement

2x-3y+5z-2x+4y-6z

Solution

To simplify the expression 2x3y+5z2x+4y6z2x - 3y + 5z - 2x + 4y - 6z, combine the like terms for each variable (xx, yy, and zz):

  1. Combine xx terms: 2x2x=02x - 2x = 0

  2. Combine yy terms: 3y+4y=y-3y + 4y = y

  3. Combine zz terms: 5z6z=z5z - 6z = -z

Putting it all together, the simplified expression is: yzy - z

Would you like additional steps or have any questions?

Here are some related questions to consider:

  1. How would you simplify an expression with more variables?
  2. How can you solve an equation that contains terms similar to this one?
  3. What is the importance of identifying like terms in algebraic expressions?
  4. How would you simplify if there were coefficients in front of each term with variables?
  5. What role do parentheses play in expressions with terms like these?

Tip: Always look for like terms first when simplifying an expression—it often saves time and simplifies the process.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Combining Like Terms

Formulas

Combining like terms for each variable

Theorems

Simplification of linear expressions

Suitable Grade Level

Grades 6-8