Math Problem Statement

Simplify the expression: 2c + 7d - 8c - c - 5 + 4d

Solution

The expression in the image is:

2c+7d8cc5+4d2c + 7d - 8c - c - 5 + 4d

Let’s simplify it by combining like terms:

  1. Combine the cc-terms: 2c8cc=7c2c - 8c - c = -7c

  2. Combine the dd-terms: 7d+4d=11d7d + 4d = 11d

  3. The constant term remains: 5-5

Thus, the simplified expression is:

7c+11d5-7c + 11d - 5

Would you like further details or explanations on this?

Here are 5 related questions:

  1. How can you factor out common terms in expressions?
  2. What does it mean to combine like terms in algebraic expressions?
  3. How would you handle an expression with more variables?
  4. Can you simplify expressions with fractions in a similar manner?
  5. How would this expression look if we needed to solve for cc or dd?

Tip: Always arrange like terms together when 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

Distributive Property

Suitable Grade Level

Grades 7-9