6(2k+1)+2k=118

Solution for 6(2k+1)+2k=118 equation:

Simplifying
6(2k + 1) + 2k = 118

Reorder the terms:
6(1 + 2k) + 2k = 118
(1 * 6 + 2k * 6) + 2k = 118
(6 + 12k) + 2k = 118

Combine like terms: 12k + 2k = 14k
6 + 14k = 118

Solving
6 + 14k = 118

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 14k = 118 + -6

Combine like terms: 6 + -6 = 0
0 + 14k = 118 + -6
14k = 118 + -6

Combine like terms: 118 + -6 = 112
14k = 112

Divide each side by '14'.
k = 8

Simplifying
k = 8