k+3=3(k-9)

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

Simplifying
k + 3 = 3(k + -9)

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

Reorder the terms:
3 + k = 3(-9 + k)
3 + k = (-9 * 3 + k * 3)
3 + k = (-27 + 3k)

Solving
3 + k = -27 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
3 + k + -3k = -27 + 3k + -3k

Combine like terms: k + -3k = -2k
3 + -2k = -27 + 3k + -3k

Combine like terms: 3k + -3k = 0
3 + -2k = -27 + 0
3 + -2k = -27

Add '-3' to each side of the equation.
3 + -3 + -2k = -27 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = -27 + -3
-2k = -27 + -3

Combine like terms: -27 + -3 = -30
-2k = -30

Divide each side by '-2'.
k = 15

Simplifying
k = 15