14+2n-6+8n=4n-21+n+34

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Solution for 14+2n-6+8n=4n-21+n+34 equation: 


Simplifying
14 + 2n + -6 + 8n = 4n + -21 + n + 34

Reorder the terms:
14 + -6 + 2n + 8n = 4n + -21 + n + 34

Combine like terms: 14 + -6 = 8
8 + 2n + 8n = 4n + -21 + n + 34

Combine like terms: 2n + 8n = 10n
8 + 10n = 4n + -21 + n + 34

Reorder the terms:
8 + 10n = -21 + 34 + 4n + n

Combine like terms: -21 + 34 = 13
8 + 10n = 13 + 4n + n

Combine like terms: 4n + n = 5n
8 + 10n = 13 + 5n

Solving
8 + 10n = 13 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
8 + 10n + -5n = 13 + 5n + -5n

Combine like terms: 10n + -5n = 5n
8 + 5n = 13 + 5n + -5n

Combine like terms: 5n + -5n = 0
8 + 5n = 13 + 0
8 + 5n = 13

Add '-8' to each side of the equation.
8 + -8 + 5n = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 5n = 13 + -8
5n = 13 + -8

Combine like terms: 13 + -8 = 5
5n = 5

Divide each side by '5'.
n = 1

Simplifying
n = 1

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