6(2k+7)=138

Solution for 6(2k+7)=138 equation:

Simplifying
6(2k + 7) = 138

Reorder the terms:
6(7 + 2k) = 138
(7 * 6 + 2k * 6) = 138
(42 + 12k) = 138

Solving
42 + 12k = 138

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 12k = 138 + -42

Combine like terms: 42 + -42 = 0
0 + 12k = 138 + -42
12k = 138 + -42

Combine like terms: 138 + -42 = 96
12k = 96

Divide each side by '12'.
k = 8

Simplifying
k = 8