6(3k+5)=42

Solution for 6(3k+5)=42 equation:

Simplifying
6(3k + 5) = 42

Reorder the terms:
6(5 + 3k) = 42
(5 * 6 + 3k * 6) = 42
(30 + 18k) = 42

Solving
30 + 18k = 42

Solving for variable 'k'.

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

Add '-30' to each side of the equation.
30 + -30 + 18k = 42 + -30

Combine like terms: 30 + -30 = 0
0 + 18k = 42 + -30
18k = 42 + -30

Combine like terms: 42 + -30 = 12
18k = 12

Divide each side by '18'.
k = 0.6666666667

Simplifying
k = 0.6666666667