Math Problem Statement

72+4-14c=36

Solution

To solve the equation 72+414c=3672 + 4 - 14c = 36, let's follow these steps:

Step 1: Simplify the left-hand side

First, combine the constants on the left-hand side: 72+4=7672 + 4 = 76 So the equation becomes: 7614c=3676 - 14c = 36

Step 2: Isolate the term with the variable

Now, subtract 76 from both sides to move the constant to the other side: 14c=3676-14c = 36 - 76 14c=40-14c = -40

Step 3: Solve for cc

To isolate cc, divide both sides by -14: c=4014=4014=207c = \frac{-40}{-14} = \frac{40}{14} = \frac{20}{7}

Thus, the solution is: c=207c = \frac{20}{7}

Would you like more details or have any questions?


Here are 5 related questions:

  1. How do you solve equations involving fractions?
  2. What are the steps to solve multi-step equations with variables on both sides?
  3. How can you check if a solution is correct by plugging it back into the original equation?
  4. How would the solution change if the equation had been 72+4+14c=3672 + 4 + 14c = 36?
  5. What happens when you divide both sides of an equation by a negative number?

Tip: Always simplify the constants on both sides of the equation before dealing with the variable terms!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Simplification

Formulas

Basic linear equation manipulation

Theorems

Properties of equality

Suitable Grade Level

Grades 6-8