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

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

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

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

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

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

Solving
-2 + 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.
-2 + 2n + -3n = 1 + 3n + -3n

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

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

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

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

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

Divide each side by '-1'.
n = -3

Simplifying
n = -3