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

Solution for 171-n=(n+1)+(n+2) equation:

Simplifying
171 + -1n = (n + 1) + (n + 2)

Reorder the terms:
171 + -1n = (1 + n) + (n + 2)

Remove parenthesis around (1 + n)
171 + -1n = 1 + n + (n + 2)

Reorder the terms:
171 + -1n = 1 + n + (2 + n)

Remove parenthesis around (2 + n)
171 + -1n = 1 + n + 2 + n

Reorder the terms:
171 + -1n = 1 + 2 + n + n

Combine like terms: 1 + 2 = 3
171 + -1n = 3 + n + n

Combine like terms: n + n = 2n
171 + -1n = 3 + 2n

Solving
171 + -1n = 3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
171 + -1n + -2n = 3 + 2n + -2n

Combine like terms: -1n + -2n = -3n
171 + -3n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
171 + -3n = 3 + 0
171 + -3n = 3

Add '-171' to each side of the equation.
171 + -171 + -3n = 3 + -171

Combine like terms: 171 + -171 = 0
0 + -3n = 3 + -171
-3n = 3 + -171

Combine like terms: 3 + -171 = -168
-3n = -168

Divide each side by '-3'.
n = 56

Simplifying
n = 56