-2n+4(1-n)=2(2n+42)

Solution for -2n+4(1-n)=2(2n+42) equation:

Simplifying
-2n + 4(1 + -1n) = 2(2n + 42)
-2n + (1 * 4 + -1n * 4) = 2(2n + 42)
-2n + (4 + -4n) = 2(2n + 42)

Reorder the terms:
4 + -2n + -4n = 2(2n + 42)

Combine like terms: -2n + -4n = -6n
4 + -6n = 2(2n + 42)

Reorder the terms:
4 + -6n = 2(42 + 2n)
4 + -6n = (42 * 2 + 2n * 2)
4 + -6n = (84 + 4n)

Solving
4 + -6n = 84 + 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.
4 + -6n + -4n = 84 + 4n + -4n

Combine like terms: -6n + -4n = -10n
4 + -10n = 84 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + -10n = 84 + 0
4 + -10n = 84

Add '-4' to each side of the equation.
4 + -4 + -10n = 84 + -4

Combine like terms: 4 + -4 = 0
0 + -10n = 84 + -4
-10n = 84 + -4

Combine like terms: 84 + -4 = 80
-10n = 80

Divide each side by '-10'.
n = -8

Simplifying
n = -8