-42=4k+3(6+2k)

Solution for -42=4k+3(6+2k) equation:

Simplifying
-42 = 4k + 3(6 + 2k)
-42 = 4k + (6 * 3 + 2k * 3)
-42 = 4k + (18 + 6k)

Reorder the terms:
-42 = 18 + 4k + 6k

Combine like terms: 4k + 6k = 10k
-42 = 18 + 10k

Solving
-42 = 18 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-42 + -10k = 18 + 10k + -10k

Combine like terms: 10k + -10k = 0
-42 + -10k = 18 + 0
-42 + -10k = 18

Add '42' to each side of the equation.
-42 + 42 + -10k = 18 + 42

Combine like terms: -42 + 42 = 0
0 + -10k = 18 + 42
-10k = 18 + 42

Combine like terms: 18 + 42 = 60
-10k = 60

Divide each side by '-10'.
k = -6

Simplifying
k = -6