.5(8n+20)=5n-80+n

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


Simplifying
0.5(8n + 20) = 5n + -80 + n

Reorder the terms:
0.5(20 + 8n) = 5n + -80 + n
(20 * 0.5 + 8n * 0.5) = 5n + -80 + n
(10 + 4n) = 5n + -80 + n

Reorder the terms:
10 + 4n = -80 + 5n + n

Combine like terms: 5n + n = 6n
10 + 4n = -80 + 6n

Solving
10 + 4n = -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.
10 + 4n + -6n = -80 + 6n + -6n

Combine like terms: 4n + -6n = -2n
10 + -2n = -80 + 6n + -6n

Combine like terms: 6n + -6n = 0
10 + -2n = -80 + 0
10 + -2n = -80

Add '-10' to each side of the equation.
10 + -10 + -2n = -80 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = -80 + -10
-2n = -80 + -10

Combine like terms: -80 + -10 = -90
-2n = -90

Divide each side by '-2'.
n = 45

Simplifying
n = 45

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