6(1-n)+4n=-4(n-2)

Solution for 6(1-n)+4n=-4(n-2) equation:

Simplifying
6(1 + -1n) + 4n = -4(n + -2)
(1 * 6 + -1n * 6) + 4n = -4(n + -2)
(6 + -6n) + 4n = -4(n + -2)

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

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

Solving
6 + -2n = 8 + -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.
6 + -2n + 4n = 8 + -4n + 4n

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

Combine like terms: -4n + 4n = 0
6 + 2n = 8 + 0
6 + 2n = 8

Add '-6' to each side of the equation.
6 + -6 + 2n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 8 + -6
2n = 8 + -6

Combine like terms: 8 + -6 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1