Math Problem Statement

2(c − 10) = –2

Solution

Let's solve the equation:

2(c10)=22(c - 10) = -2

Step 1: Distribute the 2 on the left side.

2c210=22 \cdot c - 2 \cdot 10 = -2 2c20=22c - 20 = -2

Step 2: Add 20 to both sides to isolate the term with cc.

2c20+20=2+202c - 20 + 20 = -2 + 20 2c=182c = 18

Step 3: Divide both sides by 2 to solve for cc.

c=182c = \frac{18}{2} c=9c = 9

Final Answer:

c=9c = 9

Would you like more details on the steps or have any questions about the solution?

Here are 5 related questions you could explore:

  1. How do you solve equations with variables on both sides?
  2. What is the distributive property, and how is it used in algebra?
  3. Can this method be used to solve more complex equations?
  4. What are the steps for solving equations with fractions?
  5. How do you check if your solution is correct?

Tip: When solving equations, always try to isolate the variable by using inverse operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Distributive Property

Formulas

Distributive property: a(b + c) = ab + ac
Solving linear equations: ax + b = c

Theorems

Distributive property
Inverse operations

Suitable Grade Level

Grades 6-8