-2n+4(5-n)=2(4n+38)

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Solution for -2n+4(5-n)=2(4n+38) equation: 


Simplifying
-2n + 4(5 + -1n) = 2(4n + 38)
-2n + (5 * 4 + -1n * 4) = 2(4n + 38)
-2n + (20 + -4n) = 2(4n + 38)

Reorder the terms:
20 + -2n + -4n = 2(4n + 38)

Combine like terms: -2n + -4n = -6n
20 + -6n = 2(4n + 38)

Reorder the terms:
20 + -6n = 2(38 + 4n)
20 + -6n = (38 * 2 + 4n * 2)
20 + -6n = (76 + 8n)

Solving
20 + -6n = 76 + 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.
20 + -6n + -8n = 76 + 8n + -8n

Combine like terms: -6n + -8n = -14n
20 + -14n = 76 + 8n + -8n

Combine like terms: 8n + -8n = 0
20 + -14n = 76 + 0
20 + -14n = 76

Add '-20' to each side of the equation.
20 + -20 + -14n = 76 + -20

Combine like terms: 20 + -20 = 0
0 + -14n = 76 + -20
-14n = 76 + -20

Combine like terms: 76 + -20 = 56
-14n = 56

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

Simplifying
n = -4

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