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

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

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

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

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

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

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

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

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

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

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

Simplifying
n = -1 + 3m