-2n+6 =6

2 min read Jun 17, 2024
-2n+6 =6

Solving the Equation: -2n + 6 = 6

This article will guide you through the steps of solving the equation -2n + 6 = 6.

Understanding the Equation

The equation is a linear equation in one variable, 'n'. It means we need to find the value of 'n' that makes the equation true.

Solving for 'n'

  1. Isolate the term with 'n': We need to get the term '-2n' by itself on one side of the equation. To do this, subtract 6 from both sides: -2n + 6 - 6 = 6 - 6 -2n = 0

  2. Solve for 'n': Now, divide both sides by -2 to isolate 'n': -2n / -2 = 0 / -2 n = 0

Verification

To verify our solution, substitute 'n = 0' back into the original equation:

-2(0) + 6 = 6 0 + 6 = 6 6 = 6

Since the equation holds true, we have confirmed that n = 0 is the correct solution.

Conclusion

Therefore, the solution to the equation -2n + 6 = 6 is n = 0.