Math Problem Statement
Expand and then simplify by collecting like terms for: c) 7 - 6(2x - 3) and e) 6 + 5(1 - 2x).
Solution
Let’s solve the given problems by expanding and simplifying as instructed.
Problem c:
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Distribute the to the terms inside the parentheses:
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Combine like terms ():
Final Answer:
Problem e:
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Distribute the to the terms inside the parentheses:
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Combine like terms ():
Final Answer:
Do you have any questions or want detailed explanations?
Here are 5 related questions to expand your learning:
- How do you handle negative signs during distribution?
- Why is combining like terms necessary in simplifying?
- How would the result change if there were additional variables?
- What happens if parentheses involve a fraction instead of an integer?
- Can you apply these steps to expand and simplify ?
Tip: Always distribute multiplication before combining terms to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Expressions
Distributive Property
Formulas
Distributive property: a(b + c) = ab + ac
Theorems
Properties of equality for combining like terms
Suitable Grade Level
Grades 7-8