-8n+31=-3(8n-3)-6n

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Solution for -8n+31=-3(8n-3)-6n equation: 


Simplifying
-8n + 31 = -3(8n + -3) + -6n

Reorder the terms:
31 + -8n = -3(8n + -3) + -6n

Reorder the terms:
31 + -8n = -3(-3 + 8n) + -6n
31 + -8n = (-3 * -3 + 8n * -3) + -6n
31 + -8n = (9 + -24n) + -6n

Combine like terms: -24n + -6n = -30n
31 + -8n = 9 + -30n

Solving
31 + -8n = 9 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
31 + -8n + 30n = 9 + -30n + 30n

Combine like terms: -8n + 30n = 22n
31 + 22n = 9 + -30n + 30n

Combine like terms: -30n + 30n = 0
31 + 22n = 9 + 0
31 + 22n = 9

Add '-31' to each side of the equation.
31 + -31 + 22n = 9 + -31

Combine like terms: 31 + -31 = 0
0 + 22n = 9 + -31
22n = 9 + -31

Combine like terms: 9 + -31 = -22
22n = -22

Divide each side by '22'.
n = -1

Simplifying
n = -1

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