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

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


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

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

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

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

Reorder the terms:
20 + 3n = (-20 + 4n)

Remove parenthesis around (-20 + 4n)
20 + 3n = -20 + 4n

Solving
20 + 3n = -20 + 4n

Solving for variable 'n'.

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

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

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

Combine like terms: 4n + -4n = 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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