11k+2(k+1)=5k-6

Solution for 11k+2(k+1)=5k-6 equation:

Simplifying
11k + 2(k + 1) = 5k + -6

Reorder the terms:
11k + 2(1 + k) = 5k + -6
11k + (1 * 2 + k * 2) = 5k + -6
11k + (2 + 2k) = 5k + -6

Reorder the terms:
2 + 11k + 2k = 5k + -6

Combine like terms: 11k + 2k = 13k
2 + 13k = 5k + -6

Reorder the terms:
2 + 13k = -6 + 5k

Solving
2 + 13k = -6 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
2 + 13k + -5k = -6 + 5k + -5k

Combine like terms: 13k + -5k = 8k
2 + 8k = -6 + 5k + -5k

Combine like terms: 5k + -5k = 0
2 + 8k = -6 + 0
2 + 8k = -6

Add '-2' to each side of the equation.
2 + -2 + 8k = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8k = -6 + -2
8k = -6 + -2

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

Divide each side by '8'.
k = -1

Simplifying
k = -1