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

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

Simplifying
(3n + -1) + 1(4 + -1n) = 0

Reorder the terms:
(-1 + 3n) + 1(4 + -1n) = 0

Remove parenthesis around (-1 + 3n)
-1 + 3n + 1(4 + -1n) = 0
-1 + 3n + (4 * 1 + -1n * 1) = 0
-1 + 3n + (4 + -1n) = 0

Reorder the terms:
-1 + 4 + 3n + -1n = 0

Combine like terms: -1 + 4 = 3
3 + 3n + -1n = 0

Combine like terms: 3n + -1n = 2n
3 + 2n = 0

Solving
3 + 2n = 0

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 0 + -3
2n = 0 + -3

Combine like terms: 0 + -3 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5