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 = 3n
5 + 2n = -8 + 3n

Solving
5 + 2n = -8 + 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 = -8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
5 + -1n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -1n = -8 + 0
5 + -1n = -8

Add '-5' to each side of the equation.
5 + -5 + -1n = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = -8 + -5
-1n = -8 + -5

Combine like terms: -8 + -5 = -13
-1n = -13

Divide each side by '-1'.
n = 13

Simplifying
n = 13

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