3+(k+3)=6(k-2)+9

Solution for 3+(k+3)=6(k-2)+9 equation:

Simplifying
3 + (k + 3) = 6(k + -2) + 9

Reorder the terms:
3 + (3 + k) = 6(k + -2) + 9

Remove parenthesis around (3 + k)
3 + 3 + k = 6(k + -2) + 9

Combine like terms: 3 + 3 = 6
6 + k = 6(k + -2) + 9

Reorder the terms:
6 + k = 6(-2 + k) + 9
6 + k = (-2 * 6 + k * 6) + 9
6 + k = (-12 + 6k) + 9

Reorder the terms:
6 + k = -12 + 9 + 6k

Combine like terms: -12 + 9 = -3
6 + k = -3 + 6k

Solving
6 + k = -3 + 6k

Solving for variable 'k'.

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

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

Combine like terms: k + -6k = -5k
6 + -5k = -3 + 6k + -6k

Combine like terms: 6k + -6k = 0
6 + -5k = -3 + 0
6 + -5k = -3

Add '-6' to each side of the equation.
6 + -6 + -5k = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -5k = -3 + -6
-5k = -3 + -6

Combine like terms: -3 + -6 = -9
-5k = -9

Divide each side by '-5'.
k = 1.8

Simplifying
k = 1.8