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How do you solve #4n - 12 = 12 - 4n#?

Answer 1

#n = 3#

#4n - 12 = 12 - 4n#

This is our given equation. Add #4n# to both sides

#8n -12 = 12#

We end up with all variable terms on one side. Now add #12# to both sides to get the variable term by itself on that side

#8n = 24#

Now all we have to do is divide out the eight from both sides to get a solution for #n#.

#n = 3#

You can check your work (as always) and plug in #3# for all variables #n#. You end up with #0=0#, which is true, which also indicates we did our work correctly and #3# is a correct solution.

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Answer 2

Jace Anderson

To solve the equation 4n - 12 = 12 - 4n, you need to isolate the variable n on one side of the equation. Add 4n to both sides of the equation to move all terms involving n to one side. Then, add 12 to both sides to isolate the variable term. Finally, divide both sides by 8 to solve for n.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.