How to Solve Equations with 2n+6=6: A Step-by-Step Guide

Solving equations can be a daunting task, especially if you have not been exposed to math concepts in a while. However, with the right guidance, it is possible to master this skill and become an expert solver. In this article, we will walk you through a step-by-step guide on how to solve equations with 2n+6=6.

Step 1: Simplify the equation by combining like terms

To solve the equation 2n+6=6, we must first simplify it by combining the terms that have like variables. In this case, we have 2n on the left side of the equation, and 6 on both sides. Therefore, we can start by subtracting 6 from both sides of the equation to get:

2n+6-6=6-6

Simplifying the left side of the equation, we get:

2n=0

Step 2: Isolate the variable on one side of the equation

Once we have simplified the equation, the next step is to isolate the variable (n) on one side of the equation. We do this by dividing both sides of the equation by the coefficient of the variable (2 in this case). Dividing both sides of the equation by 2, we get:

2n/2=0/2

Simplifying the left side of the equation, we get:

n=0

Step 3: Check the solution

Finally, we must check our solution to ensure that it is correct. We do this by substituting the value we obtained for the variable back into the original equation and verifying that it holds true.

Substituting n=0 into the original equation, we get:

2(0)+6=6

Simplifying the left side of the equation, we get:

6=6

Since 6 is equal to 6, our solution is correct.

Conclusion

In conclusion, solving equations requires careful attention, but following the steps outlined above can make the process easier. By simplifying the equation, isolating the variable on one side, and checking the solution, we can effectively solve equations and find the correct solutions. Practice and patience are key when it comes to solving equations, so keep honing your skills, and you will soon be a master of this important math concept.