4n+5-n=2n+1

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Solution for 4n+5-n=2n+1 equation:


Simplifying
4n + 5 + -1n = 2n + 1

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

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

Reorder the terms:
5 + 3n = 1 + 2n

Solving
5 + 3n = 1 + 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 + 3n + -2n = 1 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
5 + 1n = 1 + 0
5 + 1n = 1

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

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

Combine like terms: 1 + -5 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4

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