Math Problem Statement
6(4x + 3) - 5(2x - 1)
Solution
Let's solve the given expression step by step.
The expression is:
Step 1: Expand each term
Distribute the constants across the terms inside the parentheses:
This simplifies to:
Step 2: Combine like terms
Now, combine the terms with and the constant terms:
This simplifies to:
Thus, the simplified expression is:
Would you like further details or have any questions about this process?
Here are 5 related questions you might find useful:
- How do you distribute a constant over multiple terms inside parentheses?
- What are like terms, and why is it important to combine them?
- How can this expression be used in solving equations?
- What happens if the expression involves more complex variables or exponents?
- How would this process change if negative numbers were involved?
Tip: Always expand and simplify expressions systematically to avoid errors, especially when dealing with negative signs or multiple terms.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Expressions
Distributive Property
Formulas
a(b + c) = ab + ac
Theorems
Distributive Property of Multiplication over Addition
Suitable Grade Level
Grades 6-8