-6(k-1)-(3+2k)=-9k

Solution for -6(k-1)-(3+2k)=-9k equation:

Simplifying
-6(k + -1) + -1(3 + 2k) = -9k

Reorder the terms:
-6(-1 + k) + -1(3 + 2k) = -9k
(-1 * -6 + k * -6) + -1(3 + 2k) = -9k
(6 + -6k) + -1(3 + 2k) = -9k
6 + -6k + (3 * -1 + 2k * -1) = -9k
6 + -6k + (-3 + -2k) = -9k

Reorder the terms:
6 + -3 + -6k + -2k = -9k

Combine like terms: 6 + -3 = 3
3 + -6k + -2k = -9k

Combine like terms: -6k + -2k = -8k
3 + -8k = -9k

Solving
3 + -8k = -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
3 + -8k + 9k = -9k + 9k

Combine like terms: -8k + 9k = 1k
3 + 1k = -9k + 9k

Combine like terms: -9k + 9k = 0
3 + 1k = 0

Add '-3' to each side of the equation.
3 + -3 + 1k = 0 + -3

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

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

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

Simplifying
k = -3