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

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

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

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

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

Reorder the terms:
6 + -5 + -6k + -5k = 1

Combine like terms: 6 + -5 = 1
1 + -6k + -5k = 1

Combine like terms: -6k + -5k = -11k
1 + -11k = 1

Add '-1' to each side of the equation.
1 + -1 + -11k = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -11k = 1 + -1
-11k = 1 + -1

Combine like terms: 1 + -1 = 0
-11k = 0

Solving
-11k = 0

Solving for variable 'k'.

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

Divide each side by '-11'.
k = 0

Simplifying
k = 0