4(1-n)+3n=-2(n+1)

Solution for 4(1-n)+3n=-2(n+1) equation:

Simplifying
4(1 + -1n) + 3n = -2(n + 1)
(1 * 4 + -1n * 4) + 3n = -2(n + 1)
(4 + -4n) + 3n = -2(n + 1)

Combine like terms: -4n + 3n = -1n
4 + -1n = -2(n + 1)

Reorder the terms:
4 + -1n = -2(1 + n)
4 + -1n = (1 * -2 + n * -2)
4 + -1n = (-2 + -2n)

Solving
4 + -1n = -2 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
4 + -1n + 2n = -2 + -2n + 2n

Combine like terms: -1n + 2n = 1n
4 + 1n = -2 + -2n + 2n

Combine like terms: -2n + 2n = 0
4 + 1n = -2 + 0
4 + 1n = -2

Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4

Combine like terms: -2 + -4 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6