4(k-3)-k=k-6

Solution for 4(k-3)-k=k-6 equation:

Simplifying
4(k + -3) + -1k = k + -6

Reorder the terms:
4(-3 + k) + -1k = k + -6
(-3 * 4 + k * 4) + -1k = k + -6
(-12 + 4k) + -1k = k + -6

Combine like terms: 4k + -1k = 3k
-12 + 3k = k + -6

Reorder the terms:
-12 + 3k = -6 + k

Solving
-12 + 3k = -6 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-12 + 3k + -1k = -6 + k + -1k

Combine like terms: 3k + -1k = 2k
-12 + 2k = -6 + k + -1k

Combine like terms: k + -1k = 0
-12 + 2k = -6 + 0
-12 + 2k = -6

Add '12' to each side of the equation.
-12 + 12 + 2k = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 2k = -6 + 12
2k = -6 + 12

Combine like terms: -6 + 12 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3