31+2n=1-2(-5-6n)

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Solution for 31+2n=1-2(-5-6n) equation: 


Simplifying
31 + 2n = 1 + -2(-5 + -6n)
31 + 2n = 1 + (-5 * -2 + -6n * -2)
31 + 2n = 1 + (10 + 12n)

Combine like terms: 1 + 10 = 11
31 + 2n = 11 + 12n

Solving
31 + 2n = 11 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
31 + 2n + -12n = 11 + 12n + -12n

Combine like terms: 2n + -12n = -10n
31 + -10n = 11 + 12n + -12n

Combine like terms: 12n + -12n = 0
31 + -10n = 11 + 0
31 + -10n = 11

Add '-31' to each side of the equation.
31 + -31 + -10n = 11 + -31

Combine like terms: 31 + -31 = 0
0 + -10n = 11 + -31
-10n = 11 + -31

Combine like terms: 11 + -31 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2

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