Math Problem Statement

-4 = c - 4

Solution

To solve the equation:

4=c4-4 = c - 4

we can isolate cc by following these steps:

  1. Add 4 to both sides of the equation to eliminate the 4-4 on the right: 4+4=c4+4-4 + 4 = c - 4 + 4

  2. Simplify both sides: 0=c0 = c

So, the solution is: c=0c = 0

Would you like further details, or do you have any questions about this solution?

Here are five related questions to expand on this concept:

  1. How would you solve a similar equation if it involved multiplication instead, such as 4=2c4-4 = 2c - 4?
  2. What are the general steps to isolate a variable in an equation?
  3. How can we verify the solution to an equation after solving it?
  4. What happens if there is no solution to a given linear equation?
  5. How would you handle an equation with fractions, such as 4=c24-4 = \frac{c}{2} - 4?

Tip: When solving linear equations, always aim to isolate the variable by performing inverse operations (like adding to cancel subtraction or dividing to cancel multiplication).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Isolating a variable by inverse operations

Theorems

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Suitable Grade Level

Grades 6-8