Math Problem Statement

3x+(-2)z+(-4)x+(-2)z

Solution

To simplify the expression 3x+(2)z+(4)x+(2)z3x + (-2)z + (-4)x + (-2)z, let's combine like terms.

Step 1: Combine the terms involving xx

3x+(4)x=x3x + (-4)x = -x

Step 2: Combine the terms involving zz

(2)z+(2)z=4z(-2)z + (-2)z = -4z

Final simplified expression:

x4z-x - 4z

Would you like further details on any of the steps? Here are some related questions you can explore:

  1. How do you simplify expressions with multiple variables?
  2. What is the distributive property in algebra, and how does it apply to similar problems?
  3. How do you factor out common terms in expressions like this?
  4. What are like terms, and why can we combine them?
  5. How do operations with negative numbers affect algebraic expressions?

Tip: Always group similar variables together before simplifying expressions to avoid mistakes.

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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

Properties of Addition
Associative and Commutative Properties of Addition

Suitable Grade Level

Grades 6-8