-2n+4(2-n)=2(2n+34)

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Solution for -2n+4(2-n)=2(2n+34) equation: 


Simplifying
-2n + 4(2 + -1n) = 2(2n + 34)
-2n + (2 * 4 + -1n * 4) = 2(2n + 34)
-2n + (8 + -4n) = 2(2n + 34)

Reorder the terms:
8 + -2n + -4n = 2(2n + 34)

Combine like terms: -2n + -4n = -6n
8 + -6n = 2(2n + 34)

Reorder the terms:
8 + -6n = 2(34 + 2n)
8 + -6n = (34 * 2 + 2n * 2)
8 + -6n = (68 + 4n)

Solving
8 + -6n = 68 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
8 + -6n + -4n = 68 + 4n + -4n

Combine like terms: -6n + -4n = -10n
8 + -10n = 68 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -10n = 68 + 0
8 + -10n = 68

Add '-8' to each side of the equation.
8 + -8 + -10n = 68 + -8

Combine like terms: 8 + -8 = 0
0 + -10n = 68 + -8
-10n = 68 + -8

Combine like terms: 68 + -8 = 60
-10n = 60

Divide each side by '-10'.
n = -6

Simplifying
n = -6

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