31=-8(3n-2)-3(4+n)

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Solution for 31=-8(3n-2)-3(4+n) equation: 


Simplifying
31 = -8(3n + -2) + -3(4 + n)

Reorder the terms:
31 = -8(-2 + 3n) + -3(4 + n)
31 = (-2 * -8 + 3n * -8) + -3(4 + n)
31 = (16 + -24n) + -3(4 + n)
31 = 16 + -24n + (4 * -3 + n * -3)
31 = 16 + -24n + (-12 + -3n)

Reorder the terms:
31 = 16 + -12 + -24n + -3n

Combine like terms: 16 + -12 = 4
31 = 4 + -24n + -3n

Combine like terms: -24n + -3n = -27n
31 = 4 + -27n

Solving
31 = 4 + -27n

Solving for variable 'n'.

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

Add '27n' to each side of the equation.
31 + 27n = 4 + -27n + 27n

Combine like terms: -27n + 27n = 0
31 + 27n = 4 + 0
31 + 27n = 4

Add '-31' to each side of the equation.
31 + -31 + 27n = 4 + -31

Combine like terms: 31 + -31 = 0
0 + 27n = 4 + -31
27n = 4 + -31

Combine like terms: 4 + -31 = -27
27n = -27

Divide each side by '27'.
n = -1

Simplifying
n = -1

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