(4n-20)=(2n+20)+n

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Solution for (4n-20)=(2n+20)+n equation:


Simplifying
(4n + -20) = (2n + 20) + n

Reorder the terms:
(-20 + 4n) = (2n + 20) + n

Remove parenthesis around (-20 + 4n)
-20 + 4n = (2n + 20) + n

Reorder the terms:
-20 + 4n = (20 + 2n) + n

Remove parenthesis around (20 + 2n)
-20 + 4n = 20 + 2n + n

Combine like terms: 2n + n = 3n
-20 + 4n = 20 + 3n

Solving
-20 + 4n = 20 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-20 + 4n + -3n = 20 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-20 + 1n = 20 + 3n + -3n

Combine like terms: 3n + -3n = 0
-20 + 1n = 20 + 0
-20 + 1n = 20

Add '20' to each side of the equation.
-20 + 20 + 1n = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 1n = 20 + 20
1n = 20 + 20

Combine like terms: 20 + 20 = 40
1n = 40

Divide each side by '1'.
n = 40

Simplifying
n = 40

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