0=5k-3(1+k)+9

Solution for 0=5k-3(1+k)+9 equation:

Simplifying
0 = 5k + -3(1 + k) + 9
0 = 5k + (1 * -3 + k * -3) + 9
0 = 5k + (-3 + -3k) + 9

Reorder the terms:
0 = -3 + 9 + 5k + -3k

Combine like terms: -3 + 9 = 6
0 = 6 + 5k + -3k

Combine like terms: 5k + -3k = 2k
0 = 6 + 2k

Solving
0 = 6 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
0 + -2k = 6 + 2k + -2k
Remove the zero:
-2k = 6 + 2k + -2k

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

Divide each side by '-2'.
k = -3

Simplifying
k = -3