3(k+3)=k-1

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

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

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

Reorder the terms:
9 + 3k = -1 + k

Solving
9 + 3k = -1 + 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.
9 + 3k + -1k = -1 + k + -1k

Combine like terms: 3k + -1k = 2k
9 + 2k = -1 + k + -1k

Combine like terms: k + -1k = 0
9 + 2k = -1 + 0
9 + 2k = -1

Add '-9' to each side of the equation.
9 + -9 + 2k = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = -1 + -9
2k = -1 + -9

Combine like terms: -1 + -9 = -10
2k = -10

Divide each side by '2'.
k = -5

Simplifying
k = -5