# Algebra

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5(2n + 4) - 3(4n - 6) = 2(20 - n)

I solved this equation and this is what I got.

10n + 20 - 12n + 18 = 40 - 2n
-2n + 38 = 40 -2n
38 ≠ 40

What does this mean?
Thank you!

• Algebra -

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

• Algebra -

If you end up with no variables, and the remaining statement is false, like in your case ----> the equation has no solution.

If you end up with no variables, and the remaining statement is true ---> the equation is true for any value of the variable. It would be an "identity"

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