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

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

Simplifying
-2n + 4(4 + -1n) = 2(2n + 38)
-2n + (4 * 4 + -1n * 4) = 2(2n + 38)
-2n + (16 + -4n) = 2(2n + 38)

Reorder the terms:
16 + -2n + -4n = 2(2n + 38)

Combine like terms: -2n + -4n = -6n
16 + -6n = 2(2n + 38)

Reorder the terms:
16 + -6n = 2(38 + 2n)
16 + -6n = (38 * 2 + 2n * 2)
16 + -6n = (76 + 4n)

Solving
16 + -6n = 76 + 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.
16 + -6n + -4n = 76 + 4n + -4n

Combine like terms: -6n + -4n = -10n
16 + -10n = 76 + 4n + -4n

Combine like terms: 4n + -4n = 0
16 + -10n = 76 + 0
16 + -10n = 76

Add '-16' to each side of the equation.
16 + -16 + -10n = 76 + -16

Combine like terms: 16 + -16 = 0
0 + -10n = 76 + -16
-10n = 76 + -16

Combine like terms: 76 + -16 = 60
-10n = 60

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

Simplifying
n = -6