27=6(-n+2)-(5-2n)

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Solution for 27=6(-n+2)-(5-2n) equation:


Simplifying
27 = 6(-1n + 2) + -1(5 + -2n)

Reorder the terms:
27 = 6(2 + -1n) + -1(5 + -2n)
27 = (2 * 6 + -1n * 6) + -1(5 + -2n)
27 = (12 + -6n) + -1(5 + -2n)
27 = 12 + -6n + (5 * -1 + -2n * -1)
27 = 12 + -6n + (-5 + 2n)

Reorder the terms:
27 = 12 + -5 + -6n + 2n

Combine like terms: 12 + -5 = 7
27 = 7 + -6n + 2n

Combine like terms: -6n + 2n = -4n
27 = 7 + -4n

Solving
27 = 7 + -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.
27 + 4n = 7 + -4n + 4n

Combine like terms: -4n + 4n = 0
27 + 4n = 7 + 0
27 + 4n = 7

Add '-27' to each side of the equation.
27 + -27 + 4n = 7 + -27

Combine like terms: 27 + -27 = 0
0 + 4n = 7 + -27
4n = 7 + -27

Combine like terms: 7 + -27 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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