6=3(4k-14)

Solution for 6=3(4k-14) equation:

Simplifying
6 = 3(4k + -14)

Reorder the terms:
6 = 3(-14 + 4k)
6 = (-14 * 3 + 4k * 3)
6 = (-42 + 12k)

Solving
6 = -42 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
6 + -12k = -42 + 12k + -12k

Combine like terms: 12k + -12k = 0
6 + -12k = -42 + 0
6 + -12k = -42

Add '-6' to each side of the equation.
6 + -6 + -12k = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -12k = -42 + -6
-12k = -42 + -6

Combine like terms: -42 + -6 = -48
-12k = -48

Divide each side by '-12'.
k = 4

Simplifying
k = 4