8n+20=5n-80+n

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Solution for 8n+20=5n-80+n equation:


Simplifying
8n + 20 = 5n + -80 + n

Reorder the terms:
20 + 8n = 5n + -80 + n

Reorder the terms:
20 + 8n = -80 + 5n + n

Combine like terms: 5n + n = 6n
20 + 8n = -80 + 6n

Solving
20 + 8n = -80 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
20 + 8n + -6n = -80 + 6n + -6n

Combine like terms: 8n + -6n = 2n
20 + 2n = -80 + 6n + -6n

Combine like terms: 6n + -6n = 0
20 + 2n = -80 + 0
20 + 2n = -80

Add '-20' to each side of the equation.
20 + -20 + 2n = -80 + -20

Combine like terms: 20 + -20 = 0
0 + 2n = -80 + -20
2n = -80 + -20

Combine like terms: -80 + -20 = -100
2n = -100

Divide each side by '2'.
n = -50

Simplifying
n = -50

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