6-3(2k+4)=18

Solution for 6-3(2k+4)=18 equation:

Simplifying
6 + -3(2k + 4) = 18

Reorder the terms:
6 + -3(4 + 2k) = 18
6 + (4 * -3 + 2k * -3) = 18
6 + (-12 + -6k) = 18

Combine like terms: 6 + -12 = -6
-6 + -6k = 18

Solving
-6 + -6k = 18

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 6 + -6k = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -6k = 18 + 6
-6k = 18 + 6

Combine like terms: 18 + 6 = 24
-6k = 24

Divide each side by '-6'.
k = -4

Simplifying
k = -4