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

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

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

Combine like terms: 1 + -1 = 0
0 + 2n = 2n + (n + -1)
2n = 2n + (n + -1)

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

Remove parenthesis around (-1 + n)
2n = 2n + -1 + n

Reorder the terms:
2n = -1 + 2n + n

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

Solving
2n = -1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2n + -3n = -1 + 3n + -3n

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

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

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

Simplifying
n = 1