n-2(n-1)=3n-(8-n)

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Solution for n-2(n-1)=3n-(8-n) equation: 


Simplifying
n + -2(n + -1) = 3n + -1(8 + -1n)

Reorder the terms:
n + -2(-1 + n) = 3n + -1(8 + -1n)
n + (-1 * -2 + n * -2) = 3n + -1(8 + -1n)
n + (2 + -2n) = 3n + -1(8 + -1n)

Reorder the terms:
2 + n + -2n = 3n + -1(8 + -1n)

Combine like terms: n + -2n = -1n
2 + -1n = 3n + -1(8 + -1n)
2 + -1n = 3n + (8 * -1 + -1n * -1)
2 + -1n = 3n + (-8 + 1n)

Reorder the terms:
2 + -1n = -8 + 3n + 1n

Combine like terms: 3n + 1n = 4n
2 + -1n = -8 + 4n

Solving
2 + -1n = -8 + 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.
2 + -1n + -4n = -8 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
2 + -5n = -8 + 0
2 + -5n = -8

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

Combine like terms: 2 + -2 = 0
0 + -5n = -8 + -2
-5n = -8 + -2

Combine like terms: -8 + -2 = -10
-5n = -10

Divide each side by '-5'.
n = 2

Simplifying
n = 2

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