-2n+4(4-n)=2(4n+36)

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Solution for -2n+4(4-n)=2(4n+36) equation: 


Simplifying
-2n + 4(4 + -1n) = 2(4n + 36)
-2n + (4 * 4 + -1n * 4) = 2(4n + 36)
-2n + (16 + -4n) = 2(4n + 36)

Reorder the terms:
16 + -2n + -4n = 2(4n + 36)

Combine like terms: -2n + -4n = -6n
16 + -6n = 2(4n + 36)

Reorder the terms:
16 + -6n = 2(36 + 4n)
16 + -6n = (36 * 2 + 4n * 2)
16 + -6n = (72 + 8n)

Solving
16 + -6n = 72 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
16 + -6n + -8n = 72 + 8n + -8n

Combine like terms: -6n + -8n = -14n
16 + -14n = 72 + 8n + -8n

Combine like terms: 8n + -8n = 0
16 + -14n = 72 + 0
16 + -14n = 72

Add '-16' to each side of the equation.
16 + -16 + -14n = 72 + -16

Combine like terms: 16 + -16 = 0
0 + -14n = 72 + -16
-14n = 72 + -16

Combine like terms: 72 + -16 = 56
-14n = 56

Divide each side by '-14'.
n = -4

Simplifying
n = -4

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