6(k+1)=2c+7

Solution for 6(k+1)=2c+7 equation:

Simplifying
6(k + 1) = 2c + 7

Reorder the terms:
6(1 + k) = 2c + 7
(1 * 6 + k * 6) = 2c + 7
(6 + 6k) = 2c + 7

Reorder the terms:
6 + 6k = 7 + 2c

Solving
6 + 6k = 7 + 2c

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 + 6k = 7 + -6 + 2c

Combine like terms: 6 + -6 = 0
0 + 6k = 7 + -6 + 2c
6k = 7 + -6 + 2c

Combine like terms: 7 + -6 = 1
6k = 1 + 2c

Divide each side by '6'.
k = 0.1666666667 + 0.3333333333c

Simplifying
k = 0.1666666667 + 0.3333333333c