Math Problem Statement

Clear parentheses and combine like terms. Express the result in simplified form: (3/4)(8 - 4c) + 4c.

Solution

The equation in the image is:

34(84c)+4c=\frac{3}{4}(8 - 4c) + 4c =

To solve and simplify this equation, follow these steps:

  1. Distribute the 34\frac{3}{4} over the terms inside the parentheses: 34×834×4c=63c\frac{3}{4} \times 8 - \frac{3}{4} \times 4c = 6 - 3c

  2. Now, substitute this back into the equation: 63c+4c=6 - 3c + 4c =

  3. Combine like terms: Combine 3c-3c and +4c+4c: 6+c6 + c

So, the simplified expression is: 6+c6 + c

Do you want further details on how to handle similar problems? Feel free to ask!


Here are some related questions you can explore:

  1. How to solve equations after combining like terms?
  2. What is the distributive property, and how is it used in algebra?
  3. How can I check my solution for an algebraic equation?
  4. What are some strategies for simplifying complex algebraic expressions?
  5. How to solve for a variable in an equation?

Tip: Always remember to combine like terms after distributing to make the equation simpler.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8