3(k-1)=k+6

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

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

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

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

Solving
-3 + 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.
-3 + 3k + -1k = 6 + k + -1k

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

Combine like terms: k + -1k = 0
-3 + 2k = 6 + 0
-3 + 2k = 6

Add '3' to each side of the equation.
-3 + 3 + 2k = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 2k = 6 + 3
2k = 6 + 3

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

Divide each side by '2'.
k = 4.5

Simplifying
k = 4.5