6(k-1)-(5k-9)=-6

Solution for 6(k-1)-(5k-9)=-6 equation:

Simplifying
6(k + -1) + -1(5k + -9) = -6

Reorder the terms:
6(-1 + k) + -1(5k + -9) = -6
(-1 * 6 + k * 6) + -1(5k + -9) = -6
(-6 + 6k) + -1(5k + -9) = -6

Reorder the terms:
-6 + 6k + -1(-9 + 5k) = -6
-6 + 6k + (-9 * -1 + 5k * -1) = -6
-6 + 6k + (9 + -5k) = -6

Reorder the terms:
-6 + 9 + 6k + -5k = -6

Combine like terms: -6 + 9 = 3
3 + 6k + -5k = -6

Combine like terms: 6k + -5k = 1k
3 + 1k = -6

Solving
3 + 1k = -6

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 + 1k = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 1k = -6 + -3
1k = -6 + -3

Combine like terms: -6 + -3 = -9
1k = -9

Divide each side by '1'.
k = -9

Simplifying
k = -9