6=3(k+16)

Solution for 6=3(k+16) equation:

Simplifying
6 = 3(k + 16)

Reorder the terms:
6 = 3(16 + k)
6 = (16 * 3 + k * 3)
6 = (48 + 3k)

Solving
6 = 48 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
6 + -3k = 48 + 3k + -3k

Combine like terms: 3k + -3k = 0
6 + -3k = 48 + 0
6 + -3k = 48

Add '-6' to each side of the equation.
6 + -6 + -3k = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -3k = 48 + -6
-3k = 48 + -6

Combine like terms: 48 + -6 = 42
-3k = 42

Divide each side by '-3'.
k = -14

Simplifying
k = -14