n+(n+1)+(n+2)-(n+1)=50

Solution for n+(n+1)+(n+2)-(n+1)=50 equation:

Simplifying
n + (n + 1) + (n + 2) + -1(n + 1) = 50

Reorder the terms:
n + (1 + n) + (n + 2) + -1(n + 1) = 50

Remove parenthesis around (1 + n)
n + 1 + n + (n + 2) + -1(n + 1) = 50

Reorder the terms:
n + 1 + n + (2 + n) + -1(n + 1) = 50

Remove parenthesis around (2 + n)
n + 1 + n + 2 + n + -1(n + 1) = 50

Reorder the terms:
n + 1 + n + 2 + n + -1(1 + n) = 50
n + 1 + n + 2 + n + (1 * -1 + n * -1) = 50
n + 1 + n + 2 + n + (-1 + -1n) = 50

Reorder the terms:
1 + 2 + -1 + n + n + n + -1n = 50

Combine like terms: 1 + 2 = 3
3 + -1 + n + n + n + -1n = 50

Combine like terms: 3 + -1 = 2
2 + n + n + n + -1n = 50

Combine like terms: n + n = 2n
2 + 2n + n + -1n = 50

Combine like terms: 2n + n = 3n
2 + 3n + -1n = 50

Combine like terms: 3n + -1n = 2n
2 + 2n = 50

Solving
2 + 2n = 50

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 2n = 50 + -2

Combine like terms: 2 + -2 = 0
0 + 2n = 50 + -2
2n = 50 + -2

Combine like terms: 50 + -2 = 48
2n = 48

Divide each side by '2'.
n = 24

Simplifying
n = 24