k+(k+1)+(k+2)=

Solution for k+(k+1)+(k+2)= equation:

Simplifying
k + (k + 1) + (k + 2) = 0

Reorder the terms:
k + (1 + k) + (k + 2) = 0

Remove parenthesis around (1 + k)
k + 1 + k + (k + 2) = 0

Reorder the terms:
k + 1 + k + (2 + k) = 0

Remove parenthesis around (2 + k)
k + 1 + k + 2 + k = 0

Reorder the terms:
1 + 2 + k + k + k = 0

Combine like terms: 1 + 2 = 3
3 + k + k + k = 0

Combine like terms: k + k = 2k
3 + 2k + k = 0

Combine like terms: 2k + k = 3k
3 + 3k = 0

Solving
3 + 3k = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 3k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3k = 0 + -3
3k = 0 + -3

Combine like terms: 0 + -3 = -3
3k = -3

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

Simplifying
k = -1