4n-5=2n+22

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Solution for 4n-5=2n+22 equation:


Simplifying
4n + -5 = 2n + 22

Reorder the terms:
-5 + 4n = 2n + 22

Reorder the terms:
-5 + 4n = 22 + 2n

Solving
-5 + 4n = 22 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-5 + 4n + -2n = 22 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-5 + 2n = 22 + 2n + -2n

Combine like terms: 2n + -2n = 0
-5 + 2n = 22 + 0
-5 + 2n = 22

Add '5' to each side of the equation.
-5 + 5 + 2n = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 2n = 22 + 5
2n = 22 + 5

Combine like terms: 22 + 5 = 27
2n = 27

Divide each side by '2'.
n = 13.5

Simplifying
n = 13.5

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