31-3n=-(1-3n)+2

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Solution for 31-3n=-(1-3n)+2 equation: 


Simplifying
31 + -3n = -1(1 + -3n) + 2
31 + -3n = (1 * -1 + -3n * -1) + 2
31 + -3n = (-1 + 3n) + 2

Reorder the terms:
31 + -3n = -1 + 2 + 3n

Combine like terms: -1 + 2 = 1
31 + -3n = 1 + 3n

Solving
31 + -3n = 1 + 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.
31 + -3n + -3n = 1 + 3n + -3n

Combine like terms: -3n + -3n = -6n
31 + -6n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
31 + -6n = 1 + 0
31 + -6n = 1

Add '-31' to each side of the equation.
31 + -31 + -6n = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -6n = 1 + -31
-6n = 1 + -31

Combine like terms: 1 + -31 = -30
-6n = -30

Divide each side by '-6'.
n = 5

Simplifying
n = 5

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