3+2n-(n+1)=3n-6

Solution for 3+2n-(n+1)=3n-6 equation:

Simplifying
3 + 2n + -1(n + 1) = 3n + -6

Reorder the terms:
3 + 2n + -1(1 + n) = 3n + -6
3 + 2n + (1 * -1 + n * -1) = 3n + -6
3 + 2n + (-1 + -1n) = 3n + -6

Reorder the terms:
3 + -1 + 2n + -1n = 3n + -6

Combine like terms: 3 + -1 = 2
2 + 2n + -1n = 3n + -6

Combine like terms: 2n + -1n = 1n
2 + 1n = 3n + -6

Reorder the terms:
2 + 1n = -6 + 3n

Solving
2 + 1n = -6 + 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 + 1n + -3n = -6 + 3n + -3n

Combine like terms: 1n + -3n = -2n
2 + -2n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + -2n = -6 + 0
2 + -2n = -6

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

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

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

Divide each side by '-2'.
n = 4

Simplifying
n = 4