3k-6(k-8)=-42

Solution for 3k-6(k-8)=-42 equation:

Simplifying
3k + -6(k + -8) = -42

Reorder the terms:
3k + -6(-8 + k) = -42
3k + (-8 * -6 + k * -6) = -42
3k + (48 + -6k) = -42

Reorder the terms:
48 + 3k + -6k = -42

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

Solving
48 + -3k = -42

Solving for variable 'k'.

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

Add '-48' to each side of the equation.
48 + -48 + -3k = -42 + -48

Combine like terms: 48 + -48 = 0
0 + -3k = -42 + -48
-3k = -42 + -48

Combine like terms: -42 + -48 = -90
-3k = -90

Divide each side by '-3'.
k = 30

Simplifying
k = 30