-42-6k=6(1+3k)

Solution for -42-6k=6(1+3k) equation:

Simplifying
-42 + -6k = 6(1 + 3k)
-42 + -6k = (1 * 6 + 3k * 6)
-42 + -6k = (6 + 18k)

Solving
-42 + -6k = 6 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
-42 + -6k + -18k = 6 + 18k + -18k

Combine like terms: -6k + -18k = -24k
-42 + -24k = 6 + 18k + -18k

Combine like terms: 18k + -18k = 0
-42 + -24k = 6 + 0
-42 + -24k = 6

Add '42' to each side of the equation.
-42 + 42 + -24k = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -24k = 6 + 42
-24k = 6 + 42

Combine like terms: 6 + 42 = 48
-24k = 48

Divide each side by '-24'.
k = -2

Simplifying
k = -2