Math Problem Statement

Rewrite in simplest terms: 5(-c - c - 1) - 4c

Solution

Let's simplify the given expression step by step:

We have:

5(cc1)4c5(-c - c - 1) - 4c

Step 1: Simplify inside the parentheses

Inside the parentheses:

cc1=2c1-c - c - 1 = -2c - 1

Step 2: Distribute the 5 to terms inside the parentheses

5(2c1)=5(2c)+5(1)=10c55(-2c - 1) = 5(-2c) + 5(-1) = -10c - 5

Step 3: Combine the expression

Now we have:

10c54c-10c - 5 - 4c

Step 4: Combine like terms

Combine 10c-10c and 4c-4c:

10c4c=14c-10c - 4c = -14c

So the final simplified expression is:

14c5-14c - 5

Would you like further clarification or a deeper explanation on any step?

Here are some related questions:

  1. How do you simplify algebraic expressions with parentheses?
  2. What is the distributive property in algebra?
  3. How do you combine like terms in algebraic expressions?
  4. What are the steps to simplify multi-step algebraic expressions?
  5. How do negative signs affect distribution in algebra?

Tip: Always look for like terms before distribution, as it helps to simplify the problem more quickly!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property
Combining Like Terms

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9