2n+5=4(-n+2)-n

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Solution for 2n+5=4(-n+2)-n equation:


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

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

Reorder the terms:
5 + 2n = 4(2 + -1n) + -1n
5 + 2n = (2 * 4 + -1n * 4) + -1n
5 + 2n = (8 + -4n) + -1n

Combine like terms: -4n + -1n = -5n
5 + 2n = 8 + -5n

Solving
5 + 2n = 8 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
5 + 2n + 5n = 8 + -5n + 5n

Combine like terms: 2n + 5n = 7n
5 + 7n = 8 + -5n + 5n

Combine like terms: -5n + 5n = 0
5 + 7n = 8 + 0
5 + 7n = 8

Add '-5' to each side of the equation.
5 + -5 + 7n = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 7n = 8 + -5
7n = 8 + -5

Combine like terms: 8 + -5 = 3
7n = 3

Divide each side by '7'.
n = 0.4285714286

Simplifying
n = 0.4285714286

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