3n-n+5=4n-n+20

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Solution for 3n-n+5=4n-n+20 equation:


Simplifying
3n + -1n + 5 = 4n + -1n + 20

Reorder the terms:
5 + 3n + -1n = 4n + -1n + 20

Combine like terms: 3n + -1n = 2n
5 + 2n = 4n + -1n + 20

Reorder the terms:
5 + 2n = 20 + 4n + -1n

Combine like terms: 4n + -1n = 3n
5 + 2n = 20 + 3n

Solving
5 + 2n = 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.
5 + 2n + -3n = 20 + 3n + -3n

Combine like terms: 2n + -3n = -1n
5 + -1n = 20 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -1n = 20 + 0
5 + -1n = 20

Add '-5' to each side of the equation.
5 + -5 + -1n = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 20 + -5
-1n = 20 + -5

Combine like terms: 20 + -5 = 15
-1n = 15

Divide each side by '-1'.
n = -15

Simplifying
n = -15

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