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

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

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

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

Combine like terms: 9 + -3 = 6
6 + 3k = (k + 3) + 3

Reorder the terms:
6 + 3k = (3 + k) + 3

Remove parenthesis around (3 + k)
6 + 3k = 3 + k + 3

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

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

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

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

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

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

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

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

Divide each side by '2'.
k = 0

Simplifying
k = 0